What is the Least Common Multiple of 54840 and 54849?

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 54849 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 54849, than apply into the LCM equation.

GCF(54840,54849) = 3
LCM(54840,54849) = ( 54840 × 54849) / 3
LCM(54840,54849) = 3007919160 / 3
LCM(54840,54849) = 1002639720

Least Common Multiple (LCM) of 54840 and 54849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54840 and 54849. First we will calculate the prime factors of 54840 and 54849.

Prime Factorization of 54840

Prime Factorization of 54849

Now multiplying the highest exponent prime factors to calculate the LCM of 54840 and 54849.

LCM(54840,54849) = 2³ × 3¹ × 5¹ × 457¹ × 47¹ × 389¹
LCM(54840,54849) = 1002639720