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What is the Least Common Multiple of 56124 and 56143?

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 56124 and 56143 is 3150969732.

LCM(56124,56143) = 3150969732

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Least Common Multiple of 56124 and 56143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56124 and 56143, than apply into the LCM equation.

GCF(56124,56143) = 1
LCM(56124,56143) = ( 56124 × 56143) / 1
LCM(56124,56143) = 3150969732 / 1
LCM(56124,56143) = 3150969732

Least Common Multiple (LCM) of 56124 and 56143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56124 and 56143. First we will calculate the prime factors of 56124 and 56143.

Prime Factorization of 56124

Prime factors of 56124 are 2, 3, 1559. Prime factorization of 56124 in exponential form is:

56124 = 22 × 32 × 15591

Prime Factorization of 56143

Prime factors of 56143 are 23, 2441. Prime factorization of 56143 in exponential form is:

56143 = 231 × 24411

Now multiplying the highest exponent prime factors to calculate the LCM of 56124 and 56143.

LCM(56124,56143) = 22 × 32 × 15591 × 231 × 24411
LCM(56124,56143) = 3150969732