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What is the Least Common Multiple of 93715 and 93726?

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 93715 and 93726 is 8783532090.

LCM(93715,93726) = 8783532090

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Least Common Multiple of 93715 and 93726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93715 and 93726, than apply into the LCM equation.

GCF(93715,93726) = 1
LCM(93715,93726) = ( 93715 × 93726) / 1
LCM(93715,93726) = 8783532090 / 1
LCM(93715,93726) = 8783532090

Least Common Multiple (LCM) of 93715 and 93726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93715 and 93726. First we will calculate the prime factors of 93715 and 93726.

Prime Factorization of 93715

Prime factors of 93715 are 5, 18743. Prime factorization of 93715 in exponential form is:

93715 = 51 × 187431

Prime Factorization of 93726

Prime factors of 93726 are 2, 3, 41, 127. Prime factorization of 93726 in exponential form is:

93726 = 21 × 32 × 411 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 93715 and 93726.

LCM(93715,93726) = 51 × 187431 × 21 × 32 × 411 × 1271
LCM(93715,93726) = 8783532090