What is the Least Common Multiple of 54864 and 54870?

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 54864 and 54870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54864 and 54870, than apply into the LCM equation.

GCF(54864,54870) = 6
LCM(54864,54870) = ( 54864 × 54870) / 6
LCM(54864,54870) = 3010387680 / 6
LCM(54864,54870) = 501731280

Least Common Multiple (LCM) of 54864 and 54870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54864 and 54870. First we will calculate the prime factors of 54864 and 54870.

Prime Factorization of 54864

Prime Factorization of 54870

Now multiplying the highest exponent prime factors to calculate the LCM of 54864 and 54870.

LCM(54864,54870) = 2⁴ × 3³ × 127¹ × 5¹ × 31¹ × 59¹
LCM(54864,54870) = 501731280