What is the Least Common Multiple of 55188 and 55203?

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 55203 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 55203, than apply into the LCM equation.

GCF(55188,55203) = 3
LCM(55188,55203) = ( 55188 × 55203) / 3
LCM(55188,55203) = 3046543164 / 3
LCM(55188,55203) = 1015514388

Least Common Multiple (LCM) of 55188 and 55203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55188 and 55203. First we will calculate the prime factors of 55188 and 55203.

Prime Factorization of 55188

Prime Factorization of 55203

Now multiplying the highest exponent prime factors to calculate the LCM of 55188 and 55203.

LCM(55188,55203) = 2² × 3³ × 7¹ × 73¹ × 18401¹
LCM(55188,55203) = 1015514388