What is the Least Common Multiple of 80920 and 80938?

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 80920 and 80938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80920 and 80938, than apply into the LCM equation.

GCF(80920,80938) = 2
LCM(80920,80938) = ( 80920 × 80938) / 2
LCM(80920,80938) = 6549502960 / 2
LCM(80920,80938) = 3274751480

Least Common Multiple (LCM) of 80920 and 80938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80920 and 80938. First we will calculate the prime factors of 80920 and 80938.

Prime Factorization of 80920

Prime Factorization of 80938

Now multiplying the highest exponent prime factors to calculate the LCM of 80920 and 80938.

LCM(80920,80938) = 2³ × 5¹ × 7¹ × 17² × 11¹ × 13¹ × 283¹
LCM(80920,80938) = 3274751480