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What is the Least Common Multiple of 93702 and 93712?

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 93702 and 93712 is 4390500912.

LCM(93702,93712) = 4390500912

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Least Common Multiple of 93702 and 93712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93702 and 93712, than apply into the LCM equation.

GCF(93702,93712) = 2
LCM(93702,93712) = ( 93702 × 93712) / 2
LCM(93702,93712) = 8781001824 / 2
LCM(93702,93712) = 4390500912

Least Common Multiple (LCM) of 93702 and 93712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93702 and 93712. First we will calculate the prime factors of 93702 and 93712.

Prime Factorization of 93702

Prime factors of 93702 are 2, 3, 7, 23, 97. Prime factorization of 93702 in exponential form is:

93702 = 21 × 31 × 71 × 231 × 971

Prime Factorization of 93712

Prime factors of 93712 are 2, 5857. Prime factorization of 93712 in exponential form is:

93712 = 24 × 58571

Now multiplying the highest exponent prime factors to calculate the LCM of 93702 and 93712.

LCM(93702,93712) = 24 × 31 × 71 × 231 × 971 × 58571
LCM(93702,93712) = 4390500912