What is the Least Common Multiple of 89399 and 89404?

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 89399 and 89404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89399 and 89404, than apply into the LCM equation.

GCF(89399,89404) = 1
LCM(89399,89404) = ( 89399 × 89404) / 1
LCM(89399,89404) = 7992628196 / 1
LCM(89399,89404) = 7992628196

Least Common Multiple (LCM) of 89399 and 89404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89399 and 89404. First we will calculate the prime factors of 89399 and 89404.

Prime Factorization of 89399

Prime Factorization of 89404

Now multiplying the highest exponent prime factors to calculate the LCM of 89399 and 89404.

LCM(89399,89404) = 89399¹ × 2² × 7¹ × 31¹ × 103¹
LCM(89399,89404) = 7992628196