What is the Least Common Multiple of 72539 and 72546?

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 72539 and 72546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72539 and 72546, than apply into the LCM equation.

GCF(72539,72546) = 1
LCM(72539,72546) = ( 72539 × 72546) / 1
LCM(72539,72546) = 5262414294 / 1
LCM(72539,72546) = 5262414294

Least Common Multiple (LCM) of 72539 and 72546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72539 and 72546. First we will calculate the prime factors of 72539 and 72546.

Prime Factorization of 72539

Prime Factorization of 72546

Now multiplying the highest exponent prime factors to calculate the LCM of 72539 and 72546.

LCM(72539,72546) = 17² × 251¹ × 2¹ × 3¹ × 107¹ × 113¹
LCM(72539,72546) = 5262414294