What is the Least Common Multiple of 39160 and 39165?

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 39160 and 39165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39160 and 39165, than apply into the LCM equation.

GCF(39160,39165) = 5
LCM(39160,39165) = ( 39160 × 39165) / 5
LCM(39160,39165) = 1533701400 / 5
LCM(39160,39165) = 306740280

Least Common Multiple (LCM) of 39160 and 39165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39160 and 39165. First we will calculate the prime factors of 39160 and 39165.

Prime Factorization of 39160

Prime Factorization of 39165

Now multiplying the highest exponent prime factors to calculate the LCM of 39160 and 39165.

LCM(39160,39165) = 2³ × 5¹ × 11¹ × 89¹ × 3¹ × 7¹ × 373¹
LCM(39160,39165) = 306740280