What is the Least Common Multiple of 54198 and 54206?

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 54198 and 54206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54198 and 54206, than apply into the LCM equation.

GCF(54198,54206) = 2
LCM(54198,54206) = ( 54198 × 54206) / 2
LCM(54198,54206) = 2937856788 / 2
LCM(54198,54206) = 1468928394

Least Common Multiple (LCM) of 54198 and 54206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54198 and 54206. First we will calculate the prime factors of 54198 and 54206.

Prime Factorization of 54198

Prime Factorization of 54206

Now multiplying the highest exponent prime factors to calculate the LCM of 54198 and 54206.

LCM(54198,54206) = 2¹ × 3² × 3011¹ × 27103¹
LCM(54198,54206) = 1468928394