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What is the Least Common Multiple of 93741 and 93749?

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 93741 and 93749 is 8788125009.

LCM(93741,93749) = 8788125009

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Least Common Multiple of 93741 and 93749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93741 and 93749, than apply into the LCM equation.

GCF(93741,93749) = 1
LCM(93741,93749) = ( 93741 × 93749) / 1
LCM(93741,93749) = 8788125009 / 1
LCM(93741,93749) = 8788125009

Least Common Multiple (LCM) of 93741 and 93749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93741 and 93749. First we will calculate the prime factors of 93741 and 93749.

Prime Factorization of 93741

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

93741 = 31 × 312471

Prime Factorization of 93749

Prime factors of 93749 are 241, 389. Prime factorization of 93749 in exponential form is:

93749 = 2411 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 93741 and 93749.

LCM(93741,93749) = 31 × 312471 × 2411 × 3891
LCM(93741,93749) = 8788125009