What is the Least Common Multiple of 88378 and 88384?

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 88378 and 88384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88378 and 88384, than apply into the LCM equation.

GCF(88378,88384) = 2
LCM(88378,88384) = ( 88378 × 88384) / 2
LCM(88378,88384) = 7811201152 / 2
LCM(88378,88384) = 3905600576

Least Common Multiple (LCM) of 88378 and 88384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88378 and 88384. First we will calculate the prime factors of 88378 and 88384.

Prime Factorization of 88378

Prime Factorization of 88384

Now multiplying the highest exponent prime factors to calculate the LCM of 88378 and 88384.

LCM(88378,88384) = 2⁶ × 44189¹ × 1381¹
LCM(88378,88384) = 3905600576