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What is the Least Common Multiple of 93721 and 93737?

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 93721 and 93737 is 8785125377.

LCM(93721,93737) = 8785125377

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Least Common Multiple of 93721 and 93737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93721 and 93737, than apply into the LCM equation.

GCF(93721,93737) = 1
LCM(93721,93737) = ( 93721 × 93737) / 1
LCM(93721,93737) = 8785125377 / 1
LCM(93721,93737) = 8785125377

Least Common Multiple (LCM) of 93721 and 93737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93721 and 93737. First we will calculate the prime factors of 93721 and 93737.

Prime Factorization of 93721

Prime factors of 93721 are 17, 37, 149. Prime factorization of 93721 in exponential form is:

93721 = 171 × 371 × 1491

Prime Factorization of 93737

Prime factors of 93737 are 7, 1913. Prime factorization of 93737 in exponential form is:

93737 = 72 × 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 93721 and 93737.

LCM(93721,93737) = 171 × 371 × 1491 × 72 × 19131
LCM(93721,93737) = 8785125377