What is the Least Common Multiple of 54825 and 54840?

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 54825 and 54840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54825 and 54840, than apply into the LCM equation.

GCF(54825,54840) = 15
LCM(54825,54840) = ( 54825 × 54840) / 15
LCM(54825,54840) = 3006603000 / 15
LCM(54825,54840) = 200440200

Least Common Multiple (LCM) of 54825 and 54840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54825 and 54840. First we will calculate the prime factors of 54825 and 54840.

Prime Factorization of 54825

Prime Factorization of 54840

Now multiplying the highest exponent prime factors to calculate the LCM of 54825 and 54840.

LCM(54825,54840) = 3¹ × 5² × 17¹ × 43¹ × 2³ × 457¹
LCM(54825,54840) = 200440200