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What is the Least Common Multiple of 93726 and 93741?

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 93726 and 93741 is 2928656322.

LCM(93726,93741) = 2928656322

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Least Common Multiple of 93726 and 93741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93726 and 93741, than apply into the LCM equation.

GCF(93726,93741) = 3
LCM(93726,93741) = ( 93726 × 93741) / 3
LCM(93726,93741) = 8785968966 / 3
LCM(93726,93741) = 2928656322

Least Common Multiple (LCM) of 93726 and 93741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93726 and 93741. First we will calculate the prime factors of 93726 and 93741.

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

Prime Factorization of 93741

Prime factors of 93741 are 3, 31247. Prime factorization of 93741 in exponential form is:

93741 = 31 × 312471

Now multiplying the highest exponent prime factors to calculate the LCM of 93726 and 93741.

LCM(93726,93741) = 21 × 32 × 411 × 1271 × 312471
LCM(93726,93741) = 2928656322