What is the Least Common Multiple of 72723 and 72739?

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 72723 and 72739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72723 and 72739, than apply into the LCM equation.

GCF(72723,72739) = 1
LCM(72723,72739) = ( 72723 × 72739) / 1
LCM(72723,72739) = 5289798297 / 1
LCM(72723,72739) = 5289798297

Least Common Multiple (LCM) of 72723 and 72739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72723 and 72739. First we will calculate the prime factors of 72723 and 72739.

Prime Factorization of 72723

Prime Factorization of 72739

Now multiplying the highest exponent prime factors to calculate the LCM of 72723 and 72739.

LCM(72723,72739) = 3¹ × 7¹ × 3463¹ × 72739¹
LCM(72723,72739) = 5289798297