What is the Least Common Multiple of 69344 and 69358?

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 69344 and 69358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69344 and 69358, than apply into the LCM equation.

GCF(69344,69358) = 2
LCM(69344,69358) = ( 69344 × 69358) / 2
LCM(69344,69358) = 4809561152 / 2
LCM(69344,69358) = 2404780576

Least Common Multiple (LCM) of 69344 and 69358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69344 and 69358. First we will calculate the prime factors of 69344 and 69358.

Prime Factorization of 69344

Prime Factorization of 69358

Now multiplying the highest exponent prime factors to calculate the LCM of 69344 and 69358.

LCM(69344,69358) = 2⁵ × 11¹ × 197¹ × 34679¹
LCM(69344,69358) = 2404780576