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What is the Least Common Multiple of 93709 and 93718?

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 93709 and 93718 is 8782220062.

LCM(93709,93718) = 8782220062

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Least Common Multiple of 93709 and 93718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93709 and 93718, than apply into the LCM equation.

GCF(93709,93718) = 1
LCM(93709,93718) = ( 93709 × 93718) / 1
LCM(93709,93718) = 8782220062 / 1
LCM(93709,93718) = 8782220062

Least Common Multiple (LCM) of 93709 and 93718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93709 and 93718. First we will calculate the prime factors of 93709 and 93718.

Prime Factorization of 93709

Prime factors of 93709 are 7, 11, 1217. Prime factorization of 93709 in exponential form is:

93709 = 71 × 111 × 12171

Prime Factorization of 93718

Prime factors of 93718 are 2, 47, 997. Prime factorization of 93718 in exponential form is:

93718 = 21 × 471 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 93709 and 93718.

LCM(93709,93718) = 71 × 111 × 12171 × 21 × 471 × 9971
LCM(93709,93718) = 8782220062