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What is the Least Common Multiple of 39724 and 39738?

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 39724 and 39738 is 789276156.

LCM(39724,39738) = 789276156

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Least Common Multiple of 39724 and 39738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39724 and 39738, than apply into the LCM equation.

GCF(39724,39738) = 2
LCM(39724,39738) = ( 39724 × 39738) / 2
LCM(39724,39738) = 1578552312 / 2
LCM(39724,39738) = 789276156

Least Common Multiple (LCM) of 39724 and 39738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39724 and 39738. First we will calculate the prime factors of 39724 and 39738.

Prime Factorization of 39724

Prime factors of 39724 are 2, 9931. Prime factorization of 39724 in exponential form is:

39724 = 22 × 99311

Prime Factorization of 39738

Prime factors of 39738 are 2, 3, 37, 179. Prime factorization of 39738 in exponential form is:

39738 = 21 × 31 × 371 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 39724 and 39738.

LCM(39724,39738) = 22 × 99311 × 31 × 371 × 1791
LCM(39724,39738) = 789276156