What is the Least Common Multiple of 72862 and 72879?

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 72862 and 72879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72862 and 72879, than apply into the LCM equation.

GCF(72862,72879) = 17
LCM(72862,72879) = ( 72862 × 72879) / 17
LCM(72862,72879) = 5310109698 / 17
LCM(72862,72879) = 312359394

Least Common Multiple (LCM) of 72862 and 72879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72862 and 72879. First we will calculate the prime factors of 72862 and 72879.

Prime Factorization of 72862

Prime Factorization of 72879

Now multiplying the highest exponent prime factors to calculate the LCM of 72862 and 72879.

LCM(72862,72879) = 2¹ × 17¹ × 2143¹ × 3¹ × 1429¹
LCM(72862,72879) = 312359394