What is the Least Common Multiple of 88384 and 88388?

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 88388 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 88388, than apply into the LCM equation.

GCF(88384,88388) = 4
LCM(88384,88388) = ( 88384 × 88388) / 4
LCM(88384,88388) = 7812084992 / 4
LCM(88384,88388) = 1953021248

Least Common Multiple (LCM) of 88384 and 88388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88384 and 88388. First we will calculate the prime factors of 88384 and 88388.

Prime Factorization of 88384

Prime Factorization of 88388

Now multiplying the highest exponent prime factors to calculate the LCM of 88384 and 88388.

LCM(88384,88388) = 2⁶ × 1381¹ × 19¹ × 1163¹
LCM(88384,88388) = 1953021248