What is the Least Common Multiple of 54888 and 54894?

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 54888 and 54894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54888 and 54894, than apply into the LCM equation.

GCF(54888,54894) = 6
LCM(54888,54894) = ( 54888 × 54894) / 6
LCM(54888,54894) = 3013021872 / 6
LCM(54888,54894) = 502170312

Least Common Multiple (LCM) of 54888 and 54894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54888 and 54894. First we will calculate the prime factors of 54888 and 54894.

Prime Factorization of 54888

Prime Factorization of 54894

Now multiplying the highest exponent prime factors to calculate the LCM of 54888 and 54894.

LCM(54888,54894) = 2³ × 3¹ × 2287¹ × 7¹ × 1307¹
LCM(54888,54894) = 502170312