What is the Least Common Multiple of 88384 and 88401?

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 88401 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 88401, than apply into the LCM equation.

GCF(88384,88401) = 1
LCM(88384,88401) = ( 88384 × 88401) / 1
LCM(88384,88401) = 7813233984 / 1
LCM(88384,88401) = 7813233984

Least Common Multiple (LCM) of 88384 and 88401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88384 and 88401. First we will calculate the prime factors of 88384 and 88401.

Prime Factorization of 88384

Prime Factorization of 88401

Now multiplying the highest exponent prime factors to calculate the LCM of 88384 and 88401.

LCM(88384,88401) = 2⁶ × 1381¹ × 3¹ × 79¹ × 373¹
LCM(88384,88401) = 7813233984