What is the Least Common Multiple of 39120 and 39136?

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 39120 and 39136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39120 and 39136, than apply into the LCM equation.

GCF(39120,39136) = 16
LCM(39120,39136) = ( 39120 × 39136) / 16
LCM(39120,39136) = 1531000320 / 16
LCM(39120,39136) = 95687520

Least Common Multiple (LCM) of 39120 and 39136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39120 and 39136. First we will calculate the prime factors of 39120 and 39136.

Prime Factorization of 39120

Prime Factorization of 39136

Now multiplying the highest exponent prime factors to calculate the LCM of 39120 and 39136.

LCM(39120,39136) = 2⁵ × 3¹ × 5¹ × 163¹ × 1223¹
LCM(39120,39136) = 95687520