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What is the Least Common Multiple of 56914 and 56926?

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 56914 and 56926 is 1619943182.

LCM(56914,56926) = 1619943182

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Least Common Multiple of 56914 and 56926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56914 and 56926, than apply into the LCM equation.

GCF(56914,56926) = 2
LCM(56914,56926) = ( 56914 × 56926) / 2
LCM(56914,56926) = 3239886364 / 2
LCM(56914,56926) = 1619943182

Least Common Multiple (LCM) of 56914 and 56926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56914 and 56926. First we will calculate the prime factors of 56914 and 56926.

Prime Factorization of 56914

Prime factors of 56914 are 2, 11, 13, 199. Prime factorization of 56914 in exponential form is:

56914 = 21 × 111 × 131 × 1991

Prime Factorization of 56926

Prime factors of 56926 are 2, 28463. Prime factorization of 56926 in exponential form is:

56926 = 21 × 284631

Now multiplying the highest exponent prime factors to calculate the LCM of 56914 and 56926.

LCM(56914,56926) = 21 × 111 × 131 × 1991 × 284631
LCM(56914,56926) = 1619943182