What is the Least Common Multiple of 80719 and 80724?

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 80719 and 80724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80719 and 80724, than apply into the LCM equation.

GCF(80719,80724) = 1
LCM(80719,80724) = ( 80719 × 80724) / 1
LCM(80719,80724) = 6515960556 / 1
LCM(80719,80724) = 6515960556

Least Common Multiple (LCM) of 80719 and 80724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80719 and 80724. First we will calculate the prime factors of 80719 and 80724.

Prime Factorization of 80719

Prime Factorization of 80724

Now multiplying the highest exponent prime factors to calculate the LCM of 80719 and 80724.

LCM(80719,80724) = 53¹ × 1523¹ × 2² × 3¹ × 7¹ × 31²
LCM(80719,80724) = 6515960556