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What is the Least Common Multiple of 56149 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 56149 and 56164 is 3153552436.

LCM(56149,56164) = 3153552436

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Least Common Multiple of 56149 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 56149 and 56164, than apply into the LCM equation.

GCF(56149,56164) = 1
LCM(56149,56164) = ( 56149 × 56164) / 1
LCM(56149,56164) = 3153552436 / 1
LCM(56149,56164) = 3153552436

Least Common Multiple (LCM) of 56149 and 56164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56149 and 56164. First we will calculate the prime factors of 56149 and 56164.

Prime Factorization of 56149

Prime factors of 56149 are 56149. Prime factorization of 56149 in exponential form is:

56149 = 561491

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 56149 and 56164.

LCM(56149,56164) = 561491 × 22 × 191 × 7391
LCM(56149,56164) = 3153552436