What is the Least Common Multiple of 80765 and 80781?

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 80765 and 80781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80765 and 80781, than apply into the LCM equation.

GCF(80765,80781) = 1
LCM(80765,80781) = ( 80765 × 80781) / 1
LCM(80765,80781) = 6524277465 / 1
LCM(80765,80781) = 6524277465

Least Common Multiple (LCM) of 80765 and 80781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80765 and 80781. First we will calculate the prime factors of 80765 and 80781.

Prime Factorization of 80765

Prime Factorization of 80781

Now multiplying the highest exponent prime factors to calculate the LCM of 80765 and 80781.

LCM(80765,80781) = 5¹ × 29¹ × 557¹ × 3¹ × 26927¹
LCM(80765,80781) = 6524277465