What is the Least Common Multiple of 93408 and 93428?

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 93408 and 93428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93408 and 93428, than apply into the LCM equation.

GCF(93408,93428) = 4
LCM(93408,93428) = ( 93408 × 93428) / 4
LCM(93408,93428) = 8726922624 / 4
LCM(93408,93428) = 2181730656

Least Common Multiple (LCM) of 93408 and 93428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93408 and 93428. First we will calculate the prime factors of 93408 and 93428.

Prime Factorization of 93408

Prime Factorization of 93428

Now multiplying the highest exponent prime factors to calculate the LCM of 93408 and 93428.

LCM(93408,93428) = 2⁵ × 3¹ × 7¹ × 139¹ × 23357¹
LCM(93408,93428) = 2181730656