What is the Least Common Multiple of 55375 and 55395?

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 55375 and 55395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55375 and 55395, than apply into the LCM equation.

GCF(55375,55395) = 5
LCM(55375,55395) = ( 55375 × 55395) / 5
LCM(55375,55395) = 3067498125 / 5
LCM(55375,55395) = 613499625

Least Common Multiple (LCM) of 55375 and 55395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55375 and 55395. First we will calculate the prime factors of 55375 and 55395.

Prime Factorization of 55375

Prime Factorization of 55395

Now multiplying the highest exponent prime factors to calculate the LCM of 55375 and 55395.

LCM(55375,55395) = 5³ × 443¹ × 3² × 1231¹
LCM(55375,55395) = 613499625