What is the Least Common Multiple of 55156 and 55176?

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 55156 and 55176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55156 and 55176, than apply into the LCM equation.

GCF(55156,55176) = 4
LCM(55156,55176) = ( 55156 × 55176) / 4
LCM(55156,55176) = 3043287456 / 4
LCM(55156,55176) = 760821864

Least Common Multiple (LCM) of 55156 and 55176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55156 and 55176. First we will calculate the prime factors of 55156 and 55176.

Prime Factorization of 55156

Prime Factorization of 55176

Now multiplying the highest exponent prime factors to calculate the LCM of 55156 and 55176.

LCM(55156,55176) = 2³ × 13789¹ × 3¹ × 11² × 19¹
LCM(55156,55176) = 760821864