What is the Least Common Multiple of 55188 and 55194?

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 55188 and 55194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55188 and 55194, than apply into the LCM equation.

GCF(55188,55194) = 6
LCM(55188,55194) = ( 55188 × 55194) / 6
LCM(55188,55194) = 3046046472 / 6
LCM(55188,55194) = 507674412

Least Common Multiple (LCM) of 55188 and 55194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55188 and 55194. First we will calculate the prime factors of 55188 and 55194.

Prime Factorization of 55188

Prime Factorization of 55194

Now multiplying the highest exponent prime factors to calculate the LCM of 55188 and 55194.

LCM(55188,55194) = 2² × 3³ × 7¹ × 73¹ × 9199¹
LCM(55188,55194) = 507674412