What is the Least Common Multiple of 69312 and 69322?

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 69312 and 69322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69312 and 69322, than apply into the LCM equation.

GCF(69312,69322) = 2
LCM(69312,69322) = ( 69312 × 69322) / 2
LCM(69312,69322) = 4804846464 / 2
LCM(69312,69322) = 2402423232

Least Common Multiple (LCM) of 69312 and 69322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69312 and 69322. First we will calculate the prime factors of 69312 and 69322.

Prime Factorization of 69312

Prime Factorization of 69322

Now multiplying the highest exponent prime factors to calculate the LCM of 69312 and 69322.

LCM(69312,69322) = 2⁶ × 3¹ × 19² × 11¹ × 23¹ × 137¹
LCM(69312,69322) = 2402423232