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What is the Least Common Multiple of 94658 and 94667?

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 94658 and 94667 is 8960988886.

LCM(94658,94667) = 8960988886

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Least Common Multiple of 94658 and 94667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94658 and 94667, than apply into the LCM equation.

GCF(94658,94667) = 1
LCM(94658,94667) = ( 94658 × 94667) / 1
LCM(94658,94667) = 8960988886 / 1
LCM(94658,94667) = 8960988886

Least Common Multiple (LCM) of 94658 and 94667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94658 and 94667. First we will calculate the prime factors of 94658 and 94667.

Prime Factorization of 94658

Prime factors of 94658 are 2, 19, 47, 53. Prime factorization of 94658 in exponential form is:

94658 = 21 × 191 × 471 × 531

Prime Factorization of 94667

Prime factors of 94667 are 137, 691. Prime factorization of 94667 in exponential form is:

94667 = 1371 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 94658 and 94667.

LCM(94658,94667) = 21 × 191 × 471 × 531 × 1371 × 6911
LCM(94658,94667) = 8960988886