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What is the Least Common Multiple of 99724 and 99744?

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 99724 and 99744 is 2486717664.

LCM(99724,99744) = 2486717664

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Least Common Multiple of 99724 and 99744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99724 and 99744, than apply into the LCM equation.

GCF(99724,99744) = 4
LCM(99724,99744) = ( 99724 × 99744) / 4
LCM(99724,99744) = 9946870656 / 4
LCM(99724,99744) = 2486717664

Least Common Multiple (LCM) of 99724 and 99744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99724 and 99744. First we will calculate the prime factors of 99724 and 99744.

Prime Factorization of 99724

Prime factors of 99724 are 2, 107, 233. Prime factorization of 99724 in exponential form is:

99724 = 22 × 1071 × 2331

Prime Factorization of 99744

Prime factors of 99744 are 2, 3, 1039. Prime factorization of 99744 in exponential form is:

99744 = 25 × 31 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 99724 and 99744.

LCM(99724,99744) = 25 × 1071 × 2331 × 31 × 10391
LCM(99724,99744) = 2486717664