What is the Least Common Multiple of 80920 and 80934?

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 80934 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 80934, than apply into the LCM equation.

GCF(80920,80934) = 14
LCM(80920,80934) = ( 80920 × 80934) / 14
LCM(80920,80934) = 6549179280 / 14
LCM(80920,80934) = 467798520

Least Common Multiple (LCM) of 80920 and 80934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80920 and 80934. First we will calculate the prime factors of 80920 and 80934.

Prime Factorization of 80920

Prime Factorization of 80934

Now multiplying the highest exponent prime factors to calculate the LCM of 80920 and 80934.

LCM(80920,80934) = 2³ × 5¹ × 7¹ × 17² × 3¹ × 41¹ × 47¹
LCM(80920,80934) = 467798520