What is the Least Common Multiple of 57138 and 57152?

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 57138 and 57152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57138 and 57152, than apply into the LCM equation.

GCF(57138,57152) = 2
LCM(57138,57152) = ( 57138 × 57152) / 2
LCM(57138,57152) = 3265550976 / 2
LCM(57138,57152) = 1632775488

Least Common Multiple (LCM) of 57138 and 57152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57138 and 57152. First we will calculate the prime factors of 57138 and 57152.

Prime Factorization of 57138

Prime Factorization of 57152

Now multiplying the highest exponent prime factors to calculate the LCM of 57138 and 57152.

LCM(57138,57152) = 2⁶ × 3¹ × 89¹ × 107¹ × 19¹ × 47¹
LCM(57138,57152) = 1632775488