If the least common multiple (LCM) of two numbers is 36 and the greatest common factor (GCF) is 3, then the two numbers can be found by multiplying the GCF by the LCM. In this case, the pair of numbers would be 3 and 36, as 3 * 36 = 108.
75 = 3*5*5, so the first pair that comes to mind is 3*5 and 5*5.LCM(15, 25) = 75.And it conveniently happens to be that GCD*(15, 25) = 5.So {15, 25} is the answer (at least an answer).*GCD is "Greatest Common Divisor" and a more official way of saying GCF.* * * * *Yes, it is an answer.Consider LCM/GCF = 75/5 = 15If p and q are any two coprime factors of LCM/GCF = 15, then p*GCF and q*GCF will be an answer.The above answer used p = 3 and q = 5.The other possible pair is p = 1 and q = 15 which gives the pair as 5 and 75.
The GCF is 3.
It's the way numbers work. Consider 32 and 33. Consecutive integers are relatively prime, that is, their GCF is 1. If two numbers have a GCF of 1, the LCM will be their product. 32 x 33 = 1056 1 (GCF) x 1056 (LCM) = 1056 2 x 528 = 1056 3 x 352 = 1056 4 x 264 = 1056 Notice the pattern. As the GCF increases, the LCM decreases. Consider 32 and 34. Consecutive even numbers have a GCF of 2. The LCM of 32 and 34 is 544. 32 x 34 = 1088 2 (GCF) x 544 (LCM) = 1088 If you know either the GCF or the LCM of two numbers, you can find the other one without factoring again. The GCF of 28 and 36 is 4. Their product is 1008. Their LCM is 1008 divided by 4, or 252.
The LCM can't be less than the GCF. 12 and 18 have a GCF of 6 and an LCM of 36.
To find a pair of numbers with a given GCF, take the GCF number and double it. The pair of numbers is the GCF, and two times the GCF. For instance, two numbers with a GCF of 3 are 3 and 6.
3 and 36 9 and 12
9 and 12
9 and 12
36 and 3, respectively.
This is an impossible set of numbers. If the LCM was 36, and the GCF was 3, then the numbers would be 6X6.
3 and 36
3 and 36
3 and 36 9 and 12
3 and 90 15 and 18
The Least Common Multiple of 33, 36: 396To get the LCM, you need the GCF 33 factors to [3 11]36 factors to [2 2 3 3]Common factors [3]GCF = 3LCM = product divided by the GCF33 * 36 / 3 = 396 â–
Gcf=3, lcm=9
The least common multiple (LCM) of 3, 9, and 36 is 36.