What is the Least Common Multiple of 69344 and 69352?

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 69352 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 69352, than apply into the LCM equation.

GCF(69344,69352) = 8
LCM(69344,69352) = ( 69344 × 69352) / 8
LCM(69344,69352) = 4809145088 / 8
LCM(69344,69352) = 601143136

Least Common Multiple (LCM) of 69344 and 69352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69344 and 69352. First we will calculate the prime factors of 69344 and 69352.

Prime Factorization of 69344

Prime Factorization of 69352

Now multiplying the highest exponent prime factors to calculate the LCM of 69344 and 69352.

LCM(69344,69352) = 2⁵ × 11¹ × 197¹ × 8669¹
LCM(69344,69352) = 601143136