What is the Least Common Multiple of 39936 and 39940?

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 39936 and 39940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39936 and 39940, than apply into the LCM equation.

GCF(39936,39940) = 4
LCM(39936,39940) = ( 39936 × 39940) / 4
LCM(39936,39940) = 1595043840 / 4
LCM(39936,39940) = 398760960

Least Common Multiple (LCM) of 39936 and 39940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39936 and 39940. First we will calculate the prime factors of 39936 and 39940.

Prime Factorization of 39936

Prime Factorization of 39940

Now multiplying the highest exponent prime factors to calculate the LCM of 39936 and 39940.

LCM(39936,39940) = 2¹⁰ × 3¹ × 13¹ × 5¹ × 1997¹
LCM(39936,39940) = 398760960