What is the Least Common Multiple of 69360 and 69366?

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 69360 and 69366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69360 and 69366, than apply into the LCM equation.

GCF(69360,69366) = 6
LCM(69360,69366) = ( 69360 × 69366) / 6
LCM(69360,69366) = 4811225760 / 6
LCM(69360,69366) = 801870960

Least Common Multiple (LCM) of 69360 and 69366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69360 and 69366. First we will calculate the prime factors of 69360 and 69366.

Prime Factorization of 69360

Prime Factorization of 69366

Now multiplying the highest exponent prime factors to calculate the LCM of 69360 and 69366.

LCM(69360,69366) = 2⁴ × 3¹ × 5¹ × 17² × 11¹ × 1051¹
LCM(69360,69366) = 801870960