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What is the Least Common Multiple of 55156 and 55168?

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 55168 is 760711552.

LCM(55156,55168) = 760711552

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Least Common Multiple of 55156 and 55168 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 55168, than apply into the LCM equation.

GCF(55156,55168) = 4
LCM(55156,55168) = ( 55156 × 55168) / 4
LCM(55156,55168) = 3042846208 / 4
LCM(55156,55168) = 760711552

Least Common Multiple (LCM) of 55156 and 55168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55156 and 55168. First we will calculate the prime factors of 55156 and 55168.

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 55168

Prime factors of 55168 are 2, 431. Prime factorization of 55168 in exponential form is:

55168 = 27 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 55156 and 55168.

LCM(55156,55168) = 27 × 137891 × 4311
LCM(55156,55168) = 760711552