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What is the Least Common Multiple of 93692 and 93701?

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 93692 and 93701 is 8779034092.

LCM(93692,93701) = 8779034092

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Least Common Multiple of 93692 and 93701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93692 and 93701, than apply into the LCM equation.

GCF(93692,93701) = 1
LCM(93692,93701) = ( 93692 × 93701) / 1
LCM(93692,93701) = 8779034092 / 1
LCM(93692,93701) = 8779034092

Least Common Multiple (LCM) of 93692 and 93701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93692 and 93701. First we will calculate the prime factors of 93692 and 93701.

Prime Factorization of 93692

Prime factors of 93692 are 2, 59, 397. Prime factorization of 93692 in exponential form is:

93692 = 22 × 591 × 3971

Prime Factorization of 93701

Prime factors of 93701 are 93701. Prime factorization of 93701 in exponential form is:

93701 = 937011

Now multiplying the highest exponent prime factors to calculate the LCM of 93692 and 93701.

LCM(93692,93701) = 22 × 591 × 3971 × 937011
LCM(93692,93701) = 8779034092