What is the Least Common Multiple of 75353 and 75363?

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 75353 and 75363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75353 and 75363, than apply into the LCM equation.

GCF(75353,75363) = 1
LCM(75353,75363) = ( 75353 × 75363) / 1
LCM(75353,75363) = 5678828139 / 1
LCM(75353,75363) = 5678828139

Least Common Multiple (LCM) of 75353 and 75363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75353 and 75363. First we will calculate the prime factors of 75353 and 75363.

Prime Factorization of 75353

Prime Factorization of 75363

Now multiplying the highest exponent prime factors to calculate the LCM of 75353 and 75363.

LCM(75353,75363) = 75353¹ × 3¹ × 25121¹
LCM(75353,75363) = 5678828139