What is the Least Common Multiple of 55168 and 55178?

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 55168 and 55178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55168 and 55178, than apply into the LCM equation.

GCF(55168,55178) = 2
LCM(55168,55178) = ( 55168 × 55178) / 2
LCM(55168,55178) = 3044059904 / 2
LCM(55168,55178) = 1522029952

Least Common Multiple (LCM) of 55168 and 55178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55168 and 55178. First we will calculate the prime factors of 55168 and 55178.

Prime Factorization of 55168

Prime Factorization of 55178

Now multiplying the highest exponent prime factors to calculate the LCM of 55168 and 55178.

LCM(55168,55178) = 2⁷ × 431¹ × 47¹ × 587¹
LCM(55168,55178) = 1522029952