What is the Least Common Multiple of 8416 and 8428?

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 8416 and 8428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8416 and 8428, than apply into the LCM equation.

GCF(8416,8428) = 4
LCM(8416,8428) = ( 8416 × 8428) / 4
LCM(8416,8428) = 70930048 / 4
LCM(8416,8428) = 17732512

Least Common Multiple (LCM) of 8416 and 8428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8416 and 8428. First we will calculate the prime factors of 8416 and 8428.

Prime Factorization of 8416

Prime Factorization of 8428

Now multiplying the highest exponent prime factors to calculate the LCM of 8416 and 8428.

LCM(8416,8428) = 2⁵ × 263¹ × 7² × 43¹
LCM(8416,8428) = 17732512