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What is the Least Common Multiple of 94685 and 94701?

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 94685 and 94701 is 8966764185.

LCM(94685,94701) = 8966764185

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Least Common Multiple of 94685 and 94701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94685 and 94701, than apply into the LCM equation.

GCF(94685,94701) = 1
LCM(94685,94701) = ( 94685 × 94701) / 1
LCM(94685,94701) = 8966764185 / 1
LCM(94685,94701) = 8966764185

Least Common Multiple (LCM) of 94685 and 94701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94685 and 94701. First we will calculate the prime factors of 94685 and 94701.

Prime Factorization of 94685

Prime factors of 94685 are 5, 29, 653. Prime factorization of 94685 in exponential form is:

94685 = 51 × 291 × 6531

Prime Factorization of 94701

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

94701 = 31 × 315671

Now multiplying the highest exponent prime factors to calculate the LCM of 94685 and 94701.

LCM(94685,94701) = 51 × 291 × 6531 × 31 × 315671
LCM(94685,94701) = 8966764185