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# Which is greater gcf or LCM?

Updated: 10/19/2022

Wiki User

8y ago

The LCM of two numbers will never be less than the GCF.

Wiki User

8y ago

Wiki User

8y ago

The LCM of a set of numbers will never be less than the GCF.

Wiki User

8y ago

The LCM of a set of numbers will never be less than their GCF.

EMMA ENWRIGHT

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2y ago

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Q: Which is greater gcf or LCM?
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### Which is greater the LCM of the number or GCF of the number?

The LCM of a set of numbers will never be less than the GCF.

### Which is greater the GCF of a number or the LCM of a number?

The LCM of a set of numbers will never be less than the GCF.

### Is greater the LCM of the numbers or the numbers or the GCF of the numbers?

The LCM will never be less than the GCF of a set of numbers.

### When is the LCM not the product of the two numbers?

When their GCF is greater than one.

### What are the math terms gcf and LCM?

GCF - Greatest Common Factor (GCF is always smaller or equal to at least one of the numbers) LCM - Least Common Multiple (LCM is always greater or equal to at least one of the numbers)

### What is the pair of numbers whose gcf is 1 and LCM is 36?

The pair of numbers whose GCF is 1 and LCM is 36 is 9 and 4. The numbers should be greater than their GCF and less than their LCM.

### How can yo determine whether the LCM of two numbers is the product of the numbers or less than the product of the numbers?

If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.

### Which is greater LCM or GCF. Why?

The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the LCM will never be less than the GCF. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one. Factors go into numbers, numbers go into multiples.

### Which two numbers will have a greater greatest common factor than the least common multiple?

There cannot be any such numbers. Suppose you have the numbers X and Y, and without loss of generality, assume that X &acirc;&permil;&curren; Y. Then GCF(X, Y) is a factor of X and of Y. Therefore, GCF &acirc;&permil;&curren; X which is &acirc;&permil;&curren; Y also LCM(X, Y) is a multiple of X and of Y. Therefore, LCM &acirc;&permil;&yen; Y which is &acirc;&permil;&yen; X Combining the inequalities gives GCF &acirc;&permil;&curren; X &acirc;&permil;&curren; Y &acirc;&permil;&curren; LCM and so GCF &acirc;&permil;&curren; LCM. That is, the GCF cannot possibly be greater than LCM.

### Is the GCF of 2 different numbers greater than the LCM of the numbers?

No.The gcf of two numbers is LESS THAN OR EQUAL than their lcm.The gcf of two DIFFERENT numbes is LESS THAN their lcm.

### What number pair has an LCM of 36 and a gfc of 1?

The pair of numbers whose GCF is 1 and LCM is 36 is 9 and 4. The numbers should be greater than their GCF and less than their LCM.

The GCF is 4.