What is the Least Common Multiple of 60395 and 60404?

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 60395 and 60404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60395 and 60404, than apply into the LCM equation.

GCF(60395,60404) = 1
LCM(60395,60404) = ( 60395 × 60404) / 1
LCM(60395,60404) = 3648099580 / 1
LCM(60395,60404) = 3648099580

Least Common Multiple (LCM) of 60395 and 60404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60395 and 60404. First we will calculate the prime factors of 60395 and 60404.

Prime Factorization of 60395

Prime Factorization of 60404

Now multiplying the highest exponent prime factors to calculate the LCM of 60395 and 60404.

LCM(60395,60404) = 5¹ × 47¹ × 257¹ × 2² × 15101¹
LCM(60395,60404) = 3648099580