What is the Least Common Multiple of 88416 and 88421?

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 88416 and 88421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88416 and 88421, than apply into the LCM equation.

GCF(88416,88421) = 1
LCM(88416,88421) = ( 88416 × 88421) / 1
LCM(88416,88421) = 7817831136 / 1
LCM(88416,88421) = 7817831136

Least Common Multiple (LCM) of 88416 and 88421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88416 and 88421. First we will calculate the prime factors of 88416 and 88421.

Prime Factorization of 88416

Prime Factorization of 88421

Now multiplying the highest exponent prime factors to calculate the LCM of 88416 and 88421.

LCM(88416,88421) = 2⁵ × 3² × 307¹ × 29¹ × 3049¹
LCM(88416,88421) = 7817831136