What is the Least Common Multiple of 72642 and 72657?

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 72642 and 72657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72642 and 72657, than apply into the LCM equation.

GCF(72642,72657) = 3
LCM(72642,72657) = ( 72642 × 72657) / 3
LCM(72642,72657) = 5277949794 / 3
LCM(72642,72657) = 1759316598

Least Common Multiple (LCM) of 72642 and 72657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72642 and 72657. First we will calculate the prime factors of 72642 and 72657.

Prime Factorization of 72642

Prime Factorization of 72657

Now multiplying the highest exponent prime factors to calculate the LCM of 72642 and 72657.

LCM(72642,72657) = 2¹ × 3⁵ × 12107¹ × 13¹ × 23¹
LCM(72642,72657) = 1759316598