What is the Least Common Multiple of 88413 and 88419?

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 88413 and 88419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88413 and 88419, than apply into the LCM equation.

GCF(88413,88419) = 3
LCM(88413,88419) = ( 88413 × 88419) / 3
LCM(88413,88419) = 7817389047 / 3
LCM(88413,88419) = 2605796349

Least Common Multiple (LCM) of 88413 and 88419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88413 and 88419. First we will calculate the prime factors of 88413 and 88419.

Prime Factorization of 88413

Prime Factorization of 88419

Now multiplying the highest exponent prime factors to calculate the LCM of 88413 and 88419.

LCM(88413,88419) = 3¹ × 13¹ × 2267¹ × 29473¹
LCM(88413,88419) = 2605796349