What is the Least Common Multiple of 54144 and 54151?

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 54144 and 54151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54144 and 54151, than apply into the LCM equation.

GCF(54144,54151) = 1
LCM(54144,54151) = ( 54144 × 54151) / 1
LCM(54144,54151) = 2931951744 / 1
LCM(54144,54151) = 2931951744

Least Common Multiple (LCM) of 54144 and 54151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54144 and 54151. First we will calculate the prime factors of 54144 and 54151.

Prime Factorization of 54144

Prime Factorization of 54151

Now multiplying the highest exponent prime factors to calculate the LCM of 54144 and 54151.

LCM(54144,54151) = 2⁷ × 3² × 47¹ × 54151¹
LCM(54144,54151) = 2931951744