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What is the Least Common Multiple of 94047 and 94056?

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 94047 and 94056 is 2948561544.

LCM(94047,94056) = 2948561544

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Least Common Multiple of 94047 and 94056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94047 and 94056, than apply into the LCM equation.

GCF(94047,94056) = 3
LCM(94047,94056) = ( 94047 × 94056) / 3
LCM(94047,94056) = 8845684632 / 3
LCM(94047,94056) = 2948561544

Least Common Multiple (LCM) of 94047 and 94056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94047 and 94056. First we will calculate the prime factors of 94047 and 94056.

Prime Factorization of 94047

Prime factors of 94047 are 3, 23, 29, 47. Prime factorization of 94047 in exponential form is:

94047 = 31 × 231 × 291 × 471

Prime Factorization of 94056

Prime factors of 94056 are 2, 3, 3919. Prime factorization of 94056 in exponential form is:

94056 = 23 × 31 × 39191

Now multiplying the highest exponent prime factors to calculate the LCM of 94047 and 94056.

LCM(94047,94056) = 31 × 231 × 291 × 471 × 23 × 39191
LCM(94047,94056) = 2948561544