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What is the Least Common Multiple of 94701 and 94706?

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 94701 and 94706 is 8968752906.

LCM(94701,94706) = 8968752906

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Least Common Multiple of 94701 and 94706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94701 and 94706, than apply into the LCM equation.

GCF(94701,94706) = 1
LCM(94701,94706) = ( 94701 × 94706) / 1
LCM(94701,94706) = 8968752906 / 1
LCM(94701,94706) = 8968752906

Least Common Multiple (LCM) of 94701 and 94706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94701 and 94706. First we will calculate the prime factors of 94701 and 94706.

Prime Factorization of 94701

Prime factors of 94701 are 3, 31567. Prime factorization of 94701 in exponential form is:

94701 = 31 × 315671

Prime Factorization of 94706

Prime factors of 94706 are 2, 47353. Prime factorization of 94706 in exponential form is:

94706 = 21 × 473531

Now multiplying the highest exponent prime factors to calculate the LCM of 94701 and 94706.

LCM(94701,94706) = 31 × 315671 × 21 × 473531
LCM(94701,94706) = 8968752906