What is the Least Common Multiple of 88344 and 88352?

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 88344 and 88352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88344 and 88352, than apply into the LCM equation.

GCF(88344,88352) = 8
LCM(88344,88352) = ( 88344 × 88352) / 8
LCM(88344,88352) = 7805369088 / 8
LCM(88344,88352) = 975671136

Least Common Multiple (LCM) of 88344 and 88352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88344 and 88352. First we will calculate the prime factors of 88344 and 88352.

Prime Factorization of 88344

Prime Factorization of 88352

Now multiplying the highest exponent prime factors to calculate the LCM of 88344 and 88352.

LCM(88344,88352) = 2⁵ × 3³ × 409¹ × 11¹ × 251¹
LCM(88344,88352) = 975671136