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What is the Least Common Multiple of 56365 and 56371?

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 56365 and 56371 is 3177351415.

LCM(56365,56371) = 3177351415

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Least Common Multiple of 56365 and 56371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56365 and 56371, than apply into the LCM equation.

GCF(56365,56371) = 1
LCM(56365,56371) = ( 56365 × 56371) / 1
LCM(56365,56371) = 3177351415 / 1
LCM(56365,56371) = 3177351415

Least Common Multiple (LCM) of 56365 and 56371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56365 and 56371. First we will calculate the prime factors of 56365 and 56371.

Prime Factorization of 56365

Prime factors of 56365 are 5, 11273. Prime factorization of 56365 in exponential form is:

56365 = 51 × 112731

Prime Factorization of 56371

Prime factors of 56371 are 7, 8053. Prime factorization of 56371 in exponential form is:

56371 = 71 × 80531

Now multiplying the highest exponent prime factors to calculate the LCM of 56365 and 56371.

LCM(56365,56371) = 51 × 112731 × 71 × 80531
LCM(56365,56371) = 3177351415