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What is the Least Common Multiple of 93695 and 93707?

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 93695 and 93707 is 8779877365.

LCM(93695,93707) = 8779877365

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Least Common Multiple of 93695 and 93707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93695 and 93707, than apply into the LCM equation.

GCF(93695,93707) = 1
LCM(93695,93707) = ( 93695 × 93707) / 1
LCM(93695,93707) = 8779877365 / 1
LCM(93695,93707) = 8779877365

Least Common Multiple (LCM) of 93695 and 93707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93695 and 93707. First we will calculate the prime factors of 93695 and 93707.

Prime Factorization of 93695

Prime factors of 93695 are 5, 7, 2677. Prime factorization of 93695 in exponential form is:

93695 = 51 × 71 × 26771

Prime Factorization of 93707

Prime factors of 93707 are 83, 1129. Prime factorization of 93707 in exponential form is:

93707 = 831 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 93695 and 93707.

LCM(93695,93707) = 51 × 71 × 26771 × 831 × 11291
LCM(93695,93707) = 8779877365