What is the Least Common Multiple of 54144 and 54149?

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 54149 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 54149, than apply into the LCM equation.

GCF(54144,54149) = 1
LCM(54144,54149) = ( 54144 × 54149) / 1
LCM(54144,54149) = 2931843456 / 1
LCM(54144,54149) = 2931843456

Least Common Multiple (LCM) of 54144 and 54149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54144 and 54149. First we will calculate the prime factors of 54144 and 54149.

Prime Factorization of 54144

Prime Factorization of 54149

Now multiplying the highest exponent prime factors to calculate the LCM of 54144 and 54149.

LCM(54144,54149) = 2⁷ × 3² × 47¹ × 173¹ × 313¹
LCM(54144,54149) = 2931843456