What is the Least Common Multiple of 55050 and 55055?

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 55050 and 55055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55050 and 55055, than apply into the LCM equation.

GCF(55050,55055) = 5
LCM(55050,55055) = ( 55050 × 55055) / 5
LCM(55050,55055) = 3030777750 / 5
LCM(55050,55055) = 606155550

Least Common Multiple (LCM) of 55050 and 55055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55050 and 55055. First we will calculate the prime factors of 55050 and 55055.

Prime Factorization of 55050

Prime Factorization of 55055

Now multiplying the highest exponent prime factors to calculate the LCM of 55050 and 55055.

LCM(55050,55055) = 2¹ × 3¹ × 5² × 367¹ × 7¹ × 11² × 13¹
LCM(55050,55055) = 606155550