What is the Least Common Multiple of 72478 and 72492?

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 72478 and 72492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72478 and 72492, than apply into the LCM equation.

GCF(72478,72492) = 14
LCM(72478,72492) = ( 72478 × 72492) / 14
LCM(72478,72492) = 5254075176 / 14
LCM(72478,72492) = 375291084

Least Common Multiple (LCM) of 72478 and 72492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72478 and 72492. First we will calculate the prime factors of 72478 and 72492.

Prime Factorization of 72478

Prime Factorization of 72492

Now multiplying the highest exponent prime factors to calculate the LCM of 72478 and 72492.

LCM(72478,72492) = 2² × 7¹ × 31¹ × 167¹ × 3¹ × 863¹
LCM(72478,72492) = 375291084