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What is the Least Common Multiple of 56294 and 56312?

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 56294 and 56312 is 1585013864.

LCM(56294,56312) = 1585013864

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Least Common Multiple of 56294 and 56312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56294 and 56312, than apply into the LCM equation.

GCF(56294,56312) = 2
LCM(56294,56312) = ( 56294 × 56312) / 2
LCM(56294,56312) = 3170027728 / 2
LCM(56294,56312) = 1585013864

Least Common Multiple (LCM) of 56294 and 56312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56294 and 56312. First we will calculate the prime factors of 56294 and 56312.

Prime Factorization of 56294

Prime factors of 56294 are 2, 7, 4021. Prime factorization of 56294 in exponential form is:

56294 = 21 × 71 × 40211

Prime Factorization of 56312

Prime factors of 56312 are 2, 7039. Prime factorization of 56312 in exponential form is:

56312 = 23 × 70391

Now multiplying the highest exponent prime factors to calculate the LCM of 56294 and 56312.

LCM(56294,56312) = 23 × 71 × 40211 × 70391
LCM(56294,56312) = 1585013864