What is the Least Common Multiple of 54336 and 54345?

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 54336 and 54345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54336 and 54345, than apply into the LCM equation.

GCF(54336,54345) = 3
LCM(54336,54345) = ( 54336 × 54345) / 3
LCM(54336,54345) = 2952889920 / 3
LCM(54336,54345) = 984296640

Least Common Multiple (LCM) of 54336 and 54345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54336 and 54345. First we will calculate the prime factors of 54336 and 54345.

Prime Factorization of 54336

Prime Factorization of 54345

Now multiplying the highest exponent prime factors to calculate the LCM of 54336 and 54345.

LCM(54336,54345) = 2⁶ × 3¹ × 283¹ × 5¹ × 3623¹
LCM(54336,54345) = 984296640