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What is the Least Common Multiple of 55158 and 55172?

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 55158 and 55172 is 1521588588.

LCM(55158,55172) = 1521588588

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Least Common Multiple of 55158 and 55172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55158 and 55172, than apply into the LCM equation.

GCF(55158,55172) = 2
LCM(55158,55172) = ( 55158 × 55172) / 2
LCM(55158,55172) = 3043177176 / 2
LCM(55158,55172) = 1521588588

Least Common Multiple (LCM) of 55158 and 55172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55158 and 55172. First we will calculate the prime factors of 55158 and 55172.

Prime Factorization of 55158

Prime factors of 55158 are 2, 3, 29, 317. Prime factorization of 55158 in exponential form is:

55158 = 21 × 31 × 291 × 3171

Prime Factorization of 55172

Prime factors of 55172 are 2, 13, 1061. Prime factorization of 55172 in exponential form is:

55172 = 22 × 131 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 55158 and 55172.

LCM(55158,55172) = 22 × 31 × 291 × 3171 × 131 × 10611
LCM(55158,55172) = 1521588588