What is the Least Common Multiple of 57336 and 57342?

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 57336 and 57342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57336 and 57342, than apply into the LCM equation.

GCF(57336,57342) = 6
LCM(57336,57342) = ( 57336 × 57342) / 6
LCM(57336,57342) = 3287760912 / 6
LCM(57336,57342) = 547960152

Least Common Multiple (LCM) of 57336 and 57342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57336 and 57342. First we will calculate the prime factors of 57336 and 57342.

Prime Factorization of 57336

Prime Factorization of 57342

Now multiplying the highest exponent prime factors to calculate the LCM of 57336 and 57342.

LCM(57336,57342) = 2³ × 3¹ × 2389¹ × 19¹ × 503¹
LCM(57336,57342) = 547960152