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What is the Least Common Multiple of 57045 and 57056?

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 57045 and 57056 is 3254759520.

LCM(57045,57056) = 3254759520

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Least Common Multiple of 57045 and 57056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57045 and 57056, than apply into the LCM equation.

GCF(57045,57056) = 1
LCM(57045,57056) = ( 57045 × 57056) / 1
LCM(57045,57056) = 3254759520 / 1
LCM(57045,57056) = 3254759520

Least Common Multiple (LCM) of 57045 and 57056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57045 and 57056. First we will calculate the prime factors of 57045 and 57056.

Prime Factorization of 57045

Prime factors of 57045 are 3, 5, 3803. Prime factorization of 57045 in exponential form is:

57045 = 31 × 51 × 38031

Prime Factorization of 57056

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

57056 = 25 × 17831

Now multiplying the highest exponent prime factors to calculate the LCM of 57045 and 57056.

LCM(57045,57056) = 31 × 51 × 38031 × 25 × 17831
LCM(57045,57056) = 3254759520