What is the Least Common Multiple of 57144 and 57148?

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 57144 and 57148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57144 and 57148, than apply into the LCM equation.

GCF(57144,57148) = 4
LCM(57144,57148) = ( 57144 × 57148) / 4
LCM(57144,57148) = 3265665312 / 4
LCM(57144,57148) = 816416328

Least Common Multiple (LCM) of 57144 and 57148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57144 and 57148. First we will calculate the prime factors of 57144 and 57148.

Prime Factorization of 57144

Prime Factorization of 57148

Now multiplying the highest exponent prime factors to calculate the LCM of 57144 and 57148.

LCM(57144,57148) = 2³ × 3¹ × 2381¹ × 7¹ × 13¹ × 157¹
LCM(57144,57148) = 816416328