What is the Least Common Multiple of 88384 and 88395?

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 88384 and 88395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88384 and 88395, than apply into the LCM equation.

GCF(88384,88395) = 1
LCM(88384,88395) = ( 88384 × 88395) / 1
LCM(88384,88395) = 7812703680 / 1
LCM(88384,88395) = 7812703680

Least Common Multiple (LCM) of 88384 and 88395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88384 and 88395. First we will calculate the prime factors of 88384 and 88395.

Prime Factorization of 88384

Prime Factorization of 88395

Now multiplying the highest exponent prime factors to calculate the LCM of 88384 and 88395.

LCM(88384,88395) = 2⁶ × 1381¹ × 3¹ × 5¹ × 71¹ × 83¹
LCM(88384,88395) = 7812703680