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What is the Least Common Multiple of 94665 and 94678?

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 94665 and 94678 is 8962692870.

LCM(94665,94678) = 8962692870

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Least Common Multiple of 94665 and 94678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94665 and 94678, than apply into the LCM equation.

GCF(94665,94678) = 1
LCM(94665,94678) = ( 94665 × 94678) / 1
LCM(94665,94678) = 8962692870 / 1
LCM(94665,94678) = 8962692870

Least Common Multiple (LCM) of 94665 and 94678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94665 and 94678. First we will calculate the prime factors of 94665 and 94678.

Prime Factorization of 94665

Prime factors of 94665 are 3, 5, 6311. Prime factorization of 94665 in exponential form is:

94665 = 31 × 51 × 63111

Prime Factorization of 94678

Prime factors of 94678 are 2, 47339. Prime factorization of 94678 in exponential form is:

94678 = 21 × 473391

Now multiplying the highest exponent prime factors to calculate the LCM of 94665 and 94678.

LCM(94665,94678) = 31 × 51 × 63111 × 21 × 473391
LCM(94665,94678) = 8962692870