What is the Least Common Multiple of 55045 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 55045 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 55045 and 55060, than apply into the LCM equation.

GCF(55045,55060) = 5
LCM(55045,55060) = ( 55045 × 55060) / 5
LCM(55045,55060) = 3030777700 / 5
LCM(55045,55060) = 606155540

Least Common Multiple (LCM) of 55045 and 55060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55045 and 55060. First we will calculate the prime factors of 55045 and 55060.

Prime Factorization of 55045

Prime Factorization of 55060

Now multiplying the highest exponent prime factors to calculate the LCM of 55045 and 55060.

LCM(55045,55060) = 5¹ × 101¹ × 109¹ × 2² × 2753¹
LCM(55045,55060) = 606155540