What is the Least Common Multiple of 54870 and 54888?

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 54870 and 54888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54870 and 54888, than apply into the LCM equation.

GCF(54870,54888) = 6
LCM(54870,54888) = ( 54870 × 54888) / 6
LCM(54870,54888) = 3011704560 / 6
LCM(54870,54888) = 501950760

Least Common Multiple (LCM) of 54870 and 54888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54870 and 54888. First we will calculate the prime factors of 54870 and 54888.

Prime Factorization of 54870

Prime Factorization of 54888

Now multiplying the highest exponent prime factors to calculate the LCM of 54870 and 54888.

LCM(54870,54888) = 2³ × 3¹ × 5¹ × 31¹ × 59¹ × 2287¹
LCM(54870,54888) = 501950760