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What is the Least Common Multiple of 55688 and 55692?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 55688 and 55692 is 775344024.

LCM(55688,55692) = 775344024

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Least Common Multiple of 55688 and 55692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55688 and 55692, than apply into the LCM equation.

GCF(55688,55692) = 4
LCM(55688,55692) = ( 55688 × 55692) / 4
LCM(55688,55692) = 3101376096 / 4
LCM(55688,55692) = 775344024

Least Common Multiple (LCM) of 55688 and 55692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55688 and 55692. First we will calculate the prime factors of 55688 and 55692.

Prime Factorization of 55688

Prime factors of 55688 are 2, 6961. Prime factorization of 55688 in exponential form is:

55688 = 23 × 69611

Prime Factorization of 55692

Prime factors of 55692 are 2, 3, 7, 13, 17. Prime factorization of 55692 in exponential form is:

55692 = 22 × 32 × 71 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 55688 and 55692.

LCM(55688,55692) = 23 × 69611 × 32 × 71 × 131 × 171
LCM(55688,55692) = 775344024