What is the Least Common Multiple of 72160 and 72165?

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 72160 and 72165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72160 and 72165, than apply into the LCM equation.

GCF(72160,72165) = 5
LCM(72160,72165) = ( 72160 × 72165) / 5
LCM(72160,72165) = 5207426400 / 5
LCM(72160,72165) = 1041485280

Least Common Multiple (LCM) of 72160 and 72165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72160 and 72165. First we will calculate the prime factors of 72160 and 72165.

Prime Factorization of 72160

Prime Factorization of 72165

Now multiplying the highest exponent prime factors to calculate the LCM of 72160 and 72165.

LCM(72160,72165) = 2⁵ × 5¹ × 11¹ × 41¹ × 3¹ × 17¹ × 283¹
LCM(72160,72165) = 1041485280