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What is the Least Common Multiple of 56313 and 56317?

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 56313 and 56317 is 3171379221.

LCM(56313,56317) = 3171379221

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Least Common Multiple of 56313 and 56317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56313 and 56317, than apply into the LCM equation.

GCF(56313,56317) = 1
LCM(56313,56317) = ( 56313 × 56317) / 1
LCM(56313,56317) = 3171379221 / 1
LCM(56313,56317) = 3171379221

Least Common Multiple (LCM) of 56313 and 56317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56313 and 56317. First we will calculate the prime factors of 56313 and 56317.

Prime Factorization of 56313

Prime factors of 56313 are 3, 6257. Prime factorization of 56313 in exponential form is:

56313 = 32 × 62571

Prime Factorization of 56317

Prime factors of 56317 are 199, 283. Prime factorization of 56317 in exponential form is:

56317 = 1991 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 56313 and 56317.

LCM(56313,56317) = 32 × 62571 × 1991 × 2831
LCM(56313,56317) = 3171379221