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What is the Least Common Multiple of 93721 and 93739?

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 93739 is 8785312819.

LCM(93721,93739) = 8785312819

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Least Common Multiple of 93721 and 93739 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 93739, than apply into the LCM equation.

GCF(93721,93739) = 1
LCM(93721,93739) = ( 93721 × 93739) / 1
LCM(93721,93739) = 8785312819 / 1
LCM(93721,93739) = 8785312819

Least Common Multiple (LCM) of 93721 and 93739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93721 and 93739. First we will calculate the prime factors of 93721 and 93739.

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 93739

Prime factors of 93739 are 93739. Prime factorization of 93739 in exponential form is:

93739 = 937391

Now multiplying the highest exponent prime factors to calculate the LCM of 93721 and 93739.

LCM(93721,93739) = 171 × 371 × 1491 × 937391
LCM(93721,93739) = 8785312819