What is the Least Common Multiple of 54336 and 54354?

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 54354 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 54354, than apply into the LCM equation.

GCF(54336,54354) = 6
LCM(54336,54354) = ( 54336 × 54354) / 6
LCM(54336,54354) = 2953378944 / 6
LCM(54336,54354) = 492229824

Least Common Multiple (LCM) of 54336 and 54354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54336 and 54354. First we will calculate the prime factors of 54336 and 54354.

Prime Factorization of 54336

Prime Factorization of 54354

Now multiplying the highest exponent prime factors to calculate the LCM of 54336 and 54354.

LCM(54336,54354) = 2⁶ × 3¹ × 283¹ × 9059¹
LCM(54336,54354) = 492229824