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What is the Least Common Multiple of 56146 and 56164?

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 56146 and 56164 is 1576691972.

LCM(56146,56164) = 1576691972

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Least Common Multiple of 56146 and 56164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56146 and 56164, than apply into the LCM equation.

GCF(56146,56164) = 2
LCM(56146,56164) = ( 56146 × 56164) / 2
LCM(56146,56164) = 3153383944 / 2
LCM(56146,56164) = 1576691972

Least Common Multiple (LCM) of 56146 and 56164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56146 and 56164. First we will calculate the prime factors of 56146 and 56164.

Prime Factorization of 56146

Prime factors of 56146 are 2, 67, 419. Prime factorization of 56146 in exponential form is:

56146 = 21 × 671 × 4191

Prime Factorization of 56164

Prime factors of 56164 are 2, 19, 739. Prime factorization of 56164 in exponential form is:

56164 = 22 × 191 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 56146 and 56164.

LCM(56146,56164) = 22 × 671 × 4191 × 191 × 7391
LCM(56146,56164) = 1576691972