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What is the Least Common Multiple of 39876 and 39880?

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 39876 and 39880 is 397563720.

LCM(39876,39880) = 397563720

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Least Common Multiple of 39876 and 39880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39876 and 39880, than apply into the LCM equation.

GCF(39876,39880) = 4
LCM(39876,39880) = ( 39876 × 39880) / 4
LCM(39876,39880) = 1590254880 / 4
LCM(39876,39880) = 397563720

Least Common Multiple (LCM) of 39876 and 39880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39876 and 39880. First we will calculate the prime factors of 39876 and 39880.

Prime Factorization of 39876

Prime factors of 39876 are 2, 3, 3323. Prime factorization of 39876 in exponential form is:

39876 = 22 × 31 × 33231

Prime Factorization of 39880

Prime factors of 39880 are 2, 5, 997. Prime factorization of 39880 in exponential form is:

39880 = 23 × 51 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 39876 and 39880.

LCM(39876,39880) = 23 × 31 × 33231 × 51 × 9971
LCM(39876,39880) = 397563720