What is the Least Common Multiple of 80745 and 80750?

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 80745 and 80750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80745 and 80750, than apply into the LCM equation.

GCF(80745,80750) = 5
LCM(80745,80750) = ( 80745 × 80750) / 5
LCM(80745,80750) = 6520158750 / 5
LCM(80745,80750) = 1304031750

Least Common Multiple (LCM) of 80745 and 80750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80745 and 80750. First we will calculate the prime factors of 80745 and 80750.

Prime Factorization of 80745

Prime Factorization of 80750

Now multiplying the highest exponent prime factors to calculate the LCM of 80745 and 80750.

LCM(80745,80750) = 3¹ × 5³ × 7¹ × 769¹ × 2¹ × 17¹ × 19¹
LCM(80745,80750) = 1304031750