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What is the Least Common Multiple of 39875 and 39885?

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 39875 and 39885 is 318082875.

LCM(39875,39885) = 318082875

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Least Common Multiple of 39875 and 39885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39875 and 39885, than apply into the LCM equation.

GCF(39875,39885) = 5
LCM(39875,39885) = ( 39875 × 39885) / 5
LCM(39875,39885) = 1590414375 / 5
LCM(39875,39885) = 318082875

Least Common Multiple (LCM) of 39875 and 39885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39875 and 39885. First we will calculate the prime factors of 39875 and 39885.

Prime Factorization of 39875

Prime factors of 39875 are 5, 11, 29. Prime factorization of 39875 in exponential form is:

39875 = 53 × 111 × 291

Prime Factorization of 39885

Prime factors of 39885 are 3, 5, 2659. Prime factorization of 39885 in exponential form is:

39885 = 31 × 51 × 26591

Now multiplying the highest exponent prime factors to calculate the LCM of 39875 and 39885.

LCM(39875,39885) = 53 × 111 × 291 × 31 × 26591
LCM(39875,39885) = 318082875