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What is the Least Common Multiple of 56123 and 56138?

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 56123 and 56138 is 3150632974.

LCM(56123,56138) = 3150632974

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Least Common Multiple of 56123 and 56138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56123 and 56138, than apply into the LCM equation.

GCF(56123,56138) = 1
LCM(56123,56138) = ( 56123 × 56138) / 1
LCM(56123,56138) = 3150632974 / 1
LCM(56123,56138) = 3150632974

Least Common Multiple (LCM) of 56123 and 56138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56123 and 56138. First we will calculate the prime factors of 56123 and 56138.

Prime Factorization of 56123

Prime factors of 56123 are 56123. Prime factorization of 56123 in exponential form is:

56123 = 561231

Prime Factorization of 56138

Prime factors of 56138 are 2, 28069. Prime factorization of 56138 in exponential form is:

56138 = 21 × 280691

Now multiplying the highest exponent prime factors to calculate the LCM of 56123 and 56138.

LCM(56123,56138) = 561231 × 21 × 280691
LCM(56123,56138) = 3150632974