What is the Least Common Multiple of 80144 and 80164?

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 80144 and 80164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80144 and 80164, than apply into the LCM equation.

GCF(80144,80164) = 4
LCM(80144,80164) = ( 80144 × 80164) / 4
LCM(80144,80164) = 6424663616 / 4
LCM(80144,80164) = 1606165904

Least Common Multiple (LCM) of 80144 and 80164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80144 and 80164. First we will calculate the prime factors of 80144 and 80164.

Prime Factorization of 80144

Prime Factorization of 80164

Now multiplying the highest exponent prime factors to calculate the LCM of 80144 and 80164.

LCM(80144,80164) = 2⁴ × 5009¹ × 7² × 409¹
LCM(80144,80164) = 1606165904