What is the Least Common Multiple of 55355 and 55375?

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 55355 and 55375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55355 and 55375, than apply into the LCM equation.

GCF(55355,55375) = 5
LCM(55355,55375) = ( 55355 × 55375) / 5
LCM(55355,55375) = 3065283125 / 5
LCM(55355,55375) = 613056625

Least Common Multiple (LCM) of 55355 and 55375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55355 and 55375. First we will calculate the prime factors of 55355 and 55375.

Prime Factorization of 55355

Prime Factorization of 55375

Now multiplying the highest exponent prime factors to calculate the LCM of 55355 and 55375.

LCM(55355,55375) = 5³ × 11071¹ × 443¹
LCM(55355,55375) = 613056625