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What is the Least Common Multiple of 56365 and 56384?

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 56384 is 3178084160.

LCM(56365,56384) = 3178084160

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Least Common Multiple of 56365 and 56384 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 56384, than apply into the LCM equation.

GCF(56365,56384) = 1
LCM(56365,56384) = ( 56365 × 56384) / 1
LCM(56365,56384) = 3178084160 / 1
LCM(56365,56384) = 3178084160

Least Common Multiple (LCM) of 56365 and 56384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56365 and 56384. First we will calculate the prime factors of 56365 and 56384.

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 56384

Prime factors of 56384 are 2, 881. Prime factorization of 56384 in exponential form is:

56384 = 26 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 56365 and 56384.

LCM(56365,56384) = 51 × 112731 × 26 × 8811
LCM(56365,56384) = 3178084160