What is the Least Common Multiple of 72765 and 72780?

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 72765 and 72780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72765 and 72780, than apply into the LCM equation.

GCF(72765,72780) = 15
LCM(72765,72780) = ( 72765 × 72780) / 15
LCM(72765,72780) = 5295836700 / 15
LCM(72765,72780) = 353055780

Least Common Multiple (LCM) of 72765 and 72780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72765 and 72780. First we will calculate the prime factors of 72765 and 72780.

Prime Factorization of 72765

Prime Factorization of 72780

Now multiplying the highest exponent prime factors to calculate the LCM of 72765 and 72780.

LCM(72765,72780) = 3³ × 5¹ × 7² × 11¹ × 2² × 1213¹
LCM(72765,72780) = 353055780