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What is the Least Common Multiple of 94056 and 94068?

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 94056 and 94068 is 737304984.

LCM(94056,94068) = 737304984

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Least Common Multiple of 94056 and 94068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94056 and 94068, than apply into the LCM equation.

GCF(94056,94068) = 12
LCM(94056,94068) = ( 94056 × 94068) / 12
LCM(94056,94068) = 8847659808 / 12
LCM(94056,94068) = 737304984

Least Common Multiple (LCM) of 94056 and 94068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94056 and 94068. First we will calculate the prime factors of 94056 and 94068.

Prime Factorization of 94056

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

94056 = 23 × 31 × 39191

Prime Factorization of 94068

Prime factors of 94068 are 2, 3, 13, 67. Prime factorization of 94068 in exponential form is:

94068 = 22 × 33 × 131 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 94056 and 94068.

LCM(94056,94068) = 23 × 33 × 39191 × 131 × 671
LCM(94056,94068) = 737304984