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What is the Least Common Multiple of 55156 and 55164?

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 55156 and 55164 is 760656396.

LCM(55156,55164) = 760656396

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Least Common Multiple of 55156 and 55164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55156 and 55164, than apply into the LCM equation.

GCF(55156,55164) = 4
LCM(55156,55164) = ( 55156 × 55164) / 4
LCM(55156,55164) = 3042625584 / 4
LCM(55156,55164) = 760656396

Least Common Multiple (LCM) of 55156 and 55164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55156 and 55164. First we will calculate the prime factors of 55156 and 55164.

Prime Factorization of 55156

Prime factors of 55156 are 2, 13789. Prime factorization of 55156 in exponential form is:

55156 = 22 × 137891

Prime Factorization of 55164

Prime factors of 55164 are 2, 3, 4597. Prime factorization of 55164 in exponential form is:

55164 = 22 × 31 × 45971

Now multiplying the highest exponent prime factors to calculate the LCM of 55156 and 55164.

LCM(55156,55164) = 22 × 137891 × 31 × 45971
LCM(55156,55164) = 760656396