What is the Least Common Multiple of 72795 and 72810?

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 72795 and 72810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72795 and 72810, than apply into the LCM equation.

GCF(72795,72810) = 15
LCM(72795,72810) = ( 72795 × 72810) / 15
LCM(72795,72810) = 5300203950 / 15
LCM(72795,72810) = 353346930

Least Common Multiple (LCM) of 72795 and 72810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72795 and 72810. First we will calculate the prime factors of 72795 and 72810.

Prime Factorization of 72795

Prime Factorization of 72810

Now multiplying the highest exponent prime factors to calculate the LCM of 72795 and 72810.

LCM(72795,72810) = 3² × 5¹ × 23¹ × 211¹ × 2¹ × 809¹
LCM(72795,72810) = 353346930