What is the Least Common Multiple of 72978 and 72992?

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 72978 and 72992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72978 and 72992, than apply into the LCM equation.

GCF(72978,72992) = 2
LCM(72978,72992) = ( 72978 × 72992) / 2
LCM(72978,72992) = 5326810176 / 2
LCM(72978,72992) = 2663405088

Least Common Multiple (LCM) of 72978 and 72992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72978 and 72992. First we will calculate the prime factors of 72978 and 72992.

Prime Factorization of 72978

Prime Factorization of 72992

Now multiplying the highest exponent prime factors to calculate the LCM of 72978 and 72992.

LCM(72978,72992) = 2⁵ × 3¹ × 12163¹ × 2281¹
LCM(72978,72992) = 2663405088