What is the Least Common Multiple of 88398 and 88413?

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 88398 and 88413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88398 and 88413, than apply into the LCM equation.

GCF(88398,88413) = 3
LCM(88398,88413) = ( 88398 × 88413) / 3
LCM(88398,88413) = 7815532374 / 3
LCM(88398,88413) = 2605177458

Least Common Multiple (LCM) of 88398 and 88413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88398 and 88413. First we will calculate the prime factors of 88398 and 88413.

Prime Factorization of 88398

Prime Factorization of 88413

Now multiplying the highest exponent prime factors to calculate the LCM of 88398 and 88413.

LCM(88398,88413) = 2¹ × 3³ × 1637¹ × 13¹ × 2267¹
LCM(88398,88413) = 2605177458