What is the Least Common Multiple of 39948 and 39956?

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 of 39948 and 39956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39948 and 39956, than apply into the LCM equation.

GCF(39948,39956) = 4
LCM(39948,39956) = ( 39948 × 39956) / 4
LCM(39948,39956) = 1596162288 / 4
LCM(39948,39956) = 399040572

Least Common Multiple (LCM) of 39948 and 39956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39948 and 39956. First we will calculate the prime factors of 39948 and 39956.

Prime Factorization of 39948

Prime Factorization of 39956

Now multiplying the highest exponent prime factors to calculate the LCM of 39948 and 39956.

LCM(39948,39956) = 2² × 3¹ × 3329¹ × 7¹ × 1427¹
LCM(39948,39956) = 399040572