What is the Least Common Multiple of 54246 and 54261?

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 54246 and 54261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54246 and 54261, than apply into the LCM equation.

GCF(54246,54261) = 3
LCM(54246,54261) = ( 54246 × 54261) / 3
LCM(54246,54261) = 2943442206 / 3
LCM(54246,54261) = 981147402

Least Common Multiple (LCM) of 54246 and 54261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54246 and 54261. First we will calculate the prime factors of 54246 and 54261.

Prime Factorization of 54246

Prime Factorization of 54261

Now multiplying the highest exponent prime factors to calculate the LCM of 54246 and 54261.

LCM(54246,54261) = 2¹ × 3² × 9041¹ × 6029¹
LCM(54246,54261) = 981147402