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What is the Least Common Multiple of 57056 and 57063?

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 57056 and 57063 is 3255786528.

LCM(57056,57063) = 3255786528

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Least Common Multiple of 57056 and 57063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57056 and 57063, than apply into the LCM equation.

GCF(57056,57063) = 1
LCM(57056,57063) = ( 57056 × 57063) / 1
LCM(57056,57063) = 3255786528 / 1
LCM(57056,57063) = 3255786528

Least Common Multiple (LCM) of 57056 and 57063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57056 and 57063. First we will calculate the prime factors of 57056 and 57063.

Prime Factorization of 57056

Prime factors of 57056 are 2, 1783. Prime factorization of 57056 in exponential form is:

57056 = 25 × 17831

Prime Factorization of 57063

Prime factors of 57063 are 3, 23, 827. Prime factorization of 57063 in exponential form is:

57063 = 31 × 231 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 57056 and 57063.

LCM(57056,57063) = 25 × 17831 × 31 × 231 × 8271
LCM(57056,57063) = 3255786528