What is the Least Common Multiple of 54840 and 54858?

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 54840 and 54858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54840 and 54858, than apply into the LCM equation.

GCF(54840,54858) = 6
LCM(54840,54858) = ( 54840 × 54858) / 6
LCM(54840,54858) = 3008412720 / 6
LCM(54840,54858) = 501402120

Least Common Multiple (LCM) of 54840 and 54858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54840 and 54858. First we will calculate the prime factors of 54840 and 54858.

Prime Factorization of 54840

Prime Factorization of 54858

Now multiplying the highest exponent prime factors to calculate the LCM of 54840 and 54858.

LCM(54840,54858) = 2³ × 3¹ × 5¹ × 457¹ × 41¹ × 223¹
LCM(54840,54858) = 501402120