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What is the Least Common Multiple of 56300 and 56318?

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 56300 and 56318 is 1585351700.

LCM(56300,56318) = 1585351700

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Least Common Multiple of 56300 and 56318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56300 and 56318, than apply into the LCM equation.

GCF(56300,56318) = 2
LCM(56300,56318) = ( 56300 × 56318) / 2
LCM(56300,56318) = 3170703400 / 2
LCM(56300,56318) = 1585351700

Least Common Multiple (LCM) of 56300 and 56318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56300 and 56318. First we will calculate the prime factors of 56300 and 56318.

Prime Factorization of 56300

Prime factors of 56300 are 2, 5, 563. Prime factorization of 56300 in exponential form is:

56300 = 22 × 52 × 5631

Prime Factorization of 56318

Prime factors of 56318 are 2, 29, 971. Prime factorization of 56318 in exponential form is:

56318 = 21 × 291 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 56300 and 56318.

LCM(56300,56318) = 22 × 52 × 5631 × 291 × 9711
LCM(56300,56318) = 1585351700