What is the Least Common Multiple of 80724 and 80743?

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 80724 and 80743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80724 and 80743, than apply into the LCM equation.

GCF(80724,80743) = 1
LCM(80724,80743) = ( 80724 × 80743) / 1
LCM(80724,80743) = 6517897932 / 1
LCM(80724,80743) = 6517897932

Least Common Multiple (LCM) of 80724 and 80743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80724 and 80743. First we will calculate the prime factors of 80724 and 80743.

Prime Factorization of 80724

Prime Factorization of 80743

Now multiplying the highest exponent prime factors to calculate the LCM of 80724 and 80743.

LCM(80724,80743) = 2² × 3¹ × 7¹ × 31² × 13¹ × 6211¹
LCM(80724,80743) = 6517897932