What is the Least Common Multiple of 55125 and 55145?

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 55125 and 55145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55125 and 55145, than apply into the LCM equation.

GCF(55125,55145) = 5
LCM(55125,55145) = ( 55125 × 55145) / 5
LCM(55125,55145) = 3039868125 / 5
LCM(55125,55145) = 607973625

Least Common Multiple (LCM) of 55125 and 55145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55125 and 55145. First we will calculate the prime factors of 55125 and 55145.

Prime Factorization of 55125

Prime Factorization of 55145

Now multiplying the highest exponent prime factors to calculate the LCM of 55125 and 55145.

LCM(55125,55145) = 3² × 5³ × 7² × 41¹ × 269¹
LCM(55125,55145) = 607973625