What is the Least Common Multiple of 55182 and 55191?

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 55182 and 55191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55182 and 55191, than apply into the LCM equation.

GCF(55182,55191) = 3
LCM(55182,55191) = ( 55182 × 55191) / 3
LCM(55182,55191) = 3045549762 / 3
LCM(55182,55191) = 1015183254

Least Common Multiple (LCM) of 55182 and 55191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55182 and 55191. First we will calculate the prime factors of 55182 and 55191.

Prime Factorization of 55182

Prime Factorization of 55191

Now multiplying the highest exponent prime factors to calculate the LCM of 55182 and 55191.

LCM(55182,55191) = 2¹ × 3¹ × 17¹ × 541¹ × 18397¹
LCM(55182,55191) = 1015183254