What is the Least Common Multiple of 89333 and 89344?

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 89333 and 89344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89333 and 89344, than apply into the LCM equation.

GCF(89333,89344) = 1
LCM(89333,89344) = ( 89333 × 89344) / 1
LCM(89333,89344) = 7981367552 / 1
LCM(89333,89344) = 7981367552

Least Common Multiple (LCM) of 89333 and 89344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89333 and 89344. First we will calculate the prime factors of 89333 and 89344.

Prime Factorization of 89333

Prime Factorization of 89344

Now multiplying the highest exponent prime factors to calculate the LCM of 89333 and 89344.

LCM(89333,89344) = 157¹ × 569¹ × 2⁸ × 349¹
LCM(89333,89344) = 7981367552