What is the Least Common Multiple of 54840 and 54855?

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 54855 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 54855, than apply into the LCM equation.

GCF(54840,54855) = 15
LCM(54840,54855) = ( 54840 × 54855) / 15
LCM(54840,54855) = 3008248200 / 15
LCM(54840,54855) = 200549880

Least Common Multiple (LCM) of 54840 and 54855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54840 and 54855. First we will calculate the prime factors of 54840 and 54855.

Prime Factorization of 54840

Prime Factorization of 54855

Now multiplying the highest exponent prime factors to calculate the LCM of 54840 and 54855.

LCM(54840,54855) = 2³ × 3² × 5¹ × 457¹ × 23¹ × 53¹
LCM(54840,54855) = 200549880