What is the Least Common Multiple of 54846 and 54864?

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 54846 and 54864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54846 and 54864, than apply into the LCM equation.

GCF(54846,54864) = 18
LCM(54846,54864) = ( 54846 × 54864) / 18
LCM(54846,54864) = 3009070944 / 18
LCM(54846,54864) = 167170608

Least Common Multiple (LCM) of 54846 and 54864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54846 and 54864. First we will calculate the prime factors of 54846 and 54864.

Prime Factorization of 54846

Prime Factorization of 54864

Now multiplying the highest exponent prime factors to calculate the LCM of 54846 and 54864.

LCM(54846,54864) = 2⁴ × 3³ × 11¹ × 277¹ × 127¹
LCM(54846,54864) = 167170608