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What is the Least Common Multiple of 93723 and 93734?

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 93723 and 93734 is 8785031682.

LCM(93723,93734) = 8785031682

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Least Common Multiple of 93723 and 93734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93723 and 93734, than apply into the LCM equation.

GCF(93723,93734) = 1
LCM(93723,93734) = ( 93723 × 93734) / 1
LCM(93723,93734) = 8785031682 / 1
LCM(93723,93734) = 8785031682

Least Common Multiple (LCM) of 93723 and 93734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93723 and 93734. First we will calculate the prime factors of 93723 and 93734.

Prime Factorization of 93723

Prime factors of 93723 are 3, 7, 4463. Prime factorization of 93723 in exponential form is:

93723 = 31 × 71 × 44631

Prime Factorization of 93734

Prime factors of 93734 are 2, 46867. Prime factorization of 93734 in exponential form is:

93734 = 21 × 468671

Now multiplying the highest exponent prime factors to calculate the LCM of 93723 and 93734.

LCM(93723,93734) = 31 × 71 × 44631 × 21 × 468671
LCM(93723,93734) = 8785031682