What is the Least Common Multiple of 80750 and 80765?

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 80750 and 80765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80750 and 80765, than apply into the LCM equation.

GCF(80750,80765) = 5
LCM(80750,80765) = ( 80750 × 80765) / 5
LCM(80750,80765) = 6521773750 / 5
LCM(80750,80765) = 1304354750

Least Common Multiple (LCM) of 80750 and 80765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80750 and 80765. First we will calculate the prime factors of 80750 and 80765.

Prime Factorization of 80750

Prime Factorization of 80765

Now multiplying the highest exponent prime factors to calculate the LCM of 80750 and 80765.

LCM(80750,80765) = 2¹ × 5³ × 17¹ × 19¹ × 29¹ × 557¹
LCM(80750,80765) = 1304354750