What is the Least Common Multiple of 54324 and 54336?

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 54324 and 54336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54324 and 54336, than apply into the LCM equation.

GCF(54324,54336) = 12
LCM(54324,54336) = ( 54324 × 54336) / 12
LCM(54324,54336) = 2951748864 / 12
LCM(54324,54336) = 245979072

Least Common Multiple (LCM) of 54324 and 54336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54324 and 54336. First we will calculate the prime factors of 54324 and 54336.

Prime Factorization of 54324

Prime Factorization of 54336

Now multiplying the highest exponent prime factors to calculate the LCM of 54324 and 54336.

LCM(54324,54336) = 2⁶ × 3³ × 503¹ × 283¹
LCM(54324,54336) = 245979072