What is the Least Common Multiple of 72780 and 72790?

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 72780 and 72790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72780 and 72790, than apply into the LCM equation.

GCF(72780,72790) = 10
LCM(72780,72790) = ( 72780 × 72790) / 10
LCM(72780,72790) = 5297656200 / 10
LCM(72780,72790) = 529765620

Least Common Multiple (LCM) of 72780 and 72790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72780 and 72790. First we will calculate the prime factors of 72780 and 72790.

Prime Factorization of 72780

Prime Factorization of 72790

Now multiplying the highest exponent prime factors to calculate the LCM of 72780 and 72790.

LCM(72780,72790) = 2² × 3¹ × 5¹ × 1213¹ × 29¹ × 251¹
LCM(72780,72790) = 529765620