What is the Least Common Multiple of 55055 and 55060?

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 55055 and 55060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55055 and 55060, than apply into the LCM equation.

GCF(55055,55060) = 5
LCM(55055,55060) = ( 55055 × 55060) / 5
LCM(55055,55060) = 3031328300 / 5
LCM(55055,55060) = 606265660

Least Common Multiple (LCM) of 55055 and 55060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55055 and 55060. First we will calculate the prime factors of 55055 and 55060.

Prime Factorization of 55055

Prime Factorization of 55060

Now multiplying the highest exponent prime factors to calculate the LCM of 55055 and 55060.

LCM(55055,55060) = 5¹ × 7¹ × 11² × 13¹ × 2² × 2753¹
LCM(55055,55060) = 606265660