What is the Least Common Multiple of 72740 and 72759?

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 72740 and 72759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72740 and 72759, than apply into the LCM equation.

GCF(72740,72759) = 1
LCM(72740,72759) = ( 72740 × 72759) / 1
LCM(72740,72759) = 5292489660 / 1
LCM(72740,72759) = 5292489660

Least Common Multiple (LCM) of 72740 and 72759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72740 and 72759. First we will calculate the prime factors of 72740 and 72759.

Prime Factorization of 72740

Prime Factorization of 72759

Now multiplying the highest exponent prime factors to calculate the LCM of 72740 and 72759.

LCM(72740,72759) = 2² × 5¹ × 3637¹ × 3¹ × 79¹ × 307¹
LCM(72740,72759) = 5292489660