What is the Least Common Multiple of 75395 and 75404?

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 75395 and 75404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75395 and 75404, than apply into the LCM equation.

GCF(75395,75404) = 1
LCM(75395,75404) = ( 75395 × 75404) / 1
LCM(75395,75404) = 5685084580 / 1
LCM(75395,75404) = 5685084580

Least Common Multiple (LCM) of 75395 and 75404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75395 and 75404. First we will calculate the prime factors of 75395 and 75404.

Prime Factorization of 75395

Prime Factorization of 75404

Now multiplying the highest exponent prime factors to calculate the LCM of 75395 and 75404.

LCM(75395,75404) = 5¹ × 17¹ × 887¹ × 2² × 7¹ × 2693¹
LCM(75395,75404) = 5685084580