What is the Least Common Multiple of 30168 and 30176?

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 30168 and 30176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30168 and 30176, than apply into the LCM equation.

GCF(30168,30176) = 8
LCM(30168,30176) = ( 30168 × 30176) / 8
LCM(30168,30176) = 910349568 / 8
LCM(30168,30176) = 113793696

Least Common Multiple (LCM) of 30168 and 30176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30168 and 30176. First we will calculate the prime factors of 30168 and 30176.

Prime Factorization of 30168

Prime Factorization of 30176

Now multiplying the highest exponent prime factors to calculate the LCM of 30168 and 30176.

LCM(30168,30176) = 2⁵ × 3² × 419¹ × 23¹ × 41¹
LCM(30168,30176) = 113793696