What is the Least Common Multiple of 80520 and 80531?

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 80520 and 80531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80520 and 80531, than apply into the LCM equation.

GCF(80520,80531) = 11
LCM(80520,80531) = ( 80520 × 80531) / 11
LCM(80520,80531) = 6484356120 / 11
LCM(80520,80531) = 589486920

Least Common Multiple (LCM) of 80520 and 80531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80520 and 80531. First we will calculate the prime factors of 80520 and 80531.

Prime Factorization of 80520

Prime Factorization of 80531

Now multiplying the highest exponent prime factors to calculate the LCM of 80520 and 80531.

LCM(80520,80531) = 2³ × 3¹ × 5¹ × 11¹ × 61¹ × 7321¹
LCM(80520,80531) = 589486920