What is the Least Common Multiple of 99399 and 99413?

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 99399 and 99413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99399 and 99413, than apply into the LCM equation.

GCF(99399,99413) = 1
LCM(99399,99413) = ( 99399 × 99413) / 1
LCM(99399,99413) = 9881552787 / 1
LCM(99399,99413) = 9881552787

Least Common Multiple (LCM) of 99399 and 99413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99399 and 99413. First we will calculate the prime factors of 99399 and 99413.

Prime Factorization of 99399

Prime Factorization of 99413

Now multiplying the highest exponent prime factors to calculate the LCM of 99399 and 99413.

LCM(99399,99413) = 3¹ × 17¹ × 1949¹ × 89¹ × 1117¹
LCM(99399,99413) = 9881552787