What is the LCM of 1 and any other number greater than 1 ?
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The least common multiple of two numbers is always greater than or equal to the largest of the numbers. Examples:lcm(12, 6) = 12 (equal to the largest number)lcm(18, 12) = 36 (greater than the largest number)
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.
The LCM will never be less than the GCF. To be a multiple of both numbers, the LCM will have to be equal to or greater than the larger number. To be a factor of both numbers, the GCF will have to be equal to or less than the smaller number. The only problem comes when you're comparing a number to itself. The LCM of 10 and 10 is 10. The GCF of 10 and 10 is 10.
To find the least common multiple (LCM) of two consecutive numbers that is greater than 200 and is a multiple of 7, we need to consider the properties of consecutive numbers and multiples of 7. Since the LCM must be greater than 200 and a multiple of 7, the two consecutive numbers must be 28 and 29. The LCM of 28 and 29 is 812, which is greater than 200 and a multiple of 7.
The LCM is never less than the greatest number in the set. The LCM of 4 and 9 is 36.