What is the Least Common Multiple of 98385 and 98404?

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 98385 and 98404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98385 and 98404, than apply into the LCM equation.

GCF(98385,98404) = 1
LCM(98385,98404) = ( 98385 × 98404) / 1
LCM(98385,98404) = 9681477540 / 1
LCM(98385,98404) = 9681477540

Least Common Multiple (LCM) of 98385 and 98404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98385 and 98404. First we will calculate the prime factors of 98385 and 98404.

Prime Factorization of 98385

Prime Factorization of 98404

Now multiplying the highest exponent prime factors to calculate the LCM of 98385 and 98404.

LCM(98385,98404) = 3¹ × 5¹ × 7¹ × 937¹ × 2² × 73¹ × 337¹
LCM(98385,98404) = 9681477540