What is the Least Common Multiple of 57324 and 57336?

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 57324 and 57336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57324 and 57336, than apply into the LCM equation.

GCF(57324,57336) = 12
LCM(57324,57336) = ( 57324 × 57336) / 12
LCM(57324,57336) = 3286728864 / 12
LCM(57324,57336) = 273894072

Least Common Multiple (LCM) of 57324 and 57336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57324 and 57336. First we will calculate the prime factors of 57324 and 57336.

Prime Factorization of 57324

Prime Factorization of 57336

Now multiplying the highest exponent prime factors to calculate the LCM of 57324 and 57336.

LCM(57324,57336) = 2³ × 3¹ × 17¹ × 281¹ × 2389¹
LCM(57324,57336) = 273894072