What is the Least Common Multiple of 80436 and 80440?

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 80436 and 80440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80436 and 80440, than apply into the LCM equation.

GCF(80436,80440) = 4
LCM(80436,80440) = ( 80436 × 80440) / 4
LCM(80436,80440) = 6470271840 / 4
LCM(80436,80440) = 1617567960

Least Common Multiple (LCM) of 80436 and 80440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80436 and 80440. First we will calculate the prime factors of 80436 and 80440.

Prime Factorization of 80436

Prime Factorization of 80440

Now multiplying the highest exponent prime factors to calculate the LCM of 80436 and 80440.

LCM(80436,80440) = 2³ × 3¹ × 6703¹ × 5¹ × 2011¹
LCM(80436,80440) = 1617567960