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What is the Least Common Multiple of 56114 and 56126?

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 56114 and 56126 is 1574727182.

LCM(56114,56126) = 1574727182

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Least Common Multiple of 56114 and 56126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56114 and 56126, than apply into the LCM equation.

GCF(56114,56126) = 2
LCM(56114,56126) = ( 56114 × 56126) / 2
LCM(56114,56126) = 3149454364 / 2
LCM(56114,56126) = 1574727182

Least Common Multiple (LCM) of 56114 and 56126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56114 and 56126. First we will calculate the prime factors of 56114 and 56126.

Prime Factorization of 56114

Prime factors of 56114 are 2, 28057. Prime factorization of 56114 in exponential form is:

56114 = 21 × 280571

Prime Factorization of 56126

Prime factors of 56126 are 2, 7, 19, 211. Prime factorization of 56126 in exponential form is:

56126 = 21 × 71 × 191 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 56114 and 56126.

LCM(56114,56126) = 21 × 280571 × 71 × 191 × 2111
LCM(56114,56126) = 1574727182