What is the Least Common Multiple of 57288 and 57302?

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 57288 and 57302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57288 and 57302, than apply into the LCM equation.

GCF(57288,57302) = 14
LCM(57288,57302) = ( 57288 × 57302) / 14
LCM(57288,57302) = 3282716976 / 14
LCM(57288,57302) = 234479784

Least Common Multiple (LCM) of 57288 and 57302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57288 and 57302. First we will calculate the prime factors of 57288 and 57302.

Prime Factorization of 57288

Prime Factorization of 57302

Now multiplying the highest exponent prime factors to calculate the LCM of 57288 and 57302.

LCM(57288,57302) = 2³ × 3¹ × 7¹ × 11¹ × 31¹ × 4093¹
LCM(57288,57302) = 234479784