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What is the Least Common Multiple of 56157 and 56170?

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 56157 and 56170 is 3154338690.

LCM(56157,56170) = 3154338690

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Least Common Multiple of 56157 and 56170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56157 and 56170, than apply into the LCM equation.

GCF(56157,56170) = 1
LCM(56157,56170) = ( 56157 × 56170) / 1
LCM(56157,56170) = 3154338690 / 1
LCM(56157,56170) = 3154338690

Least Common Multiple (LCM) of 56157 and 56170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56157 and 56170. First we will calculate the prime factors of 56157 and 56170.

Prime Factorization of 56157

Prime factors of 56157 are 3, 18719. Prime factorization of 56157 in exponential form is:

56157 = 31 × 187191

Prime Factorization of 56170

Prime factors of 56170 are 2, 5, 41, 137. Prime factorization of 56170 in exponential form is:

56170 = 21 × 51 × 411 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 56157 and 56170.

LCM(56157,56170) = 31 × 187191 × 21 × 51 × 411 × 1371
LCM(56157,56170) = 3154338690