What is the Least Common Multiple of 69360 and 69372?

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 69372 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 69372, than apply into the LCM equation.

GCF(69360,69372) = 12
LCM(69360,69372) = ( 69360 × 69372) / 12
LCM(69360,69372) = 4811641920 / 12
LCM(69360,69372) = 400970160

Least Common Multiple (LCM) of 69360 and 69372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69360 and 69372. First we will calculate the prime factors of 69360 and 69372.

Prime Factorization of 69360

Prime Factorization of 69372

Now multiplying the highest exponent prime factors to calculate the LCM of 69360 and 69372.

LCM(69360,69372) = 2⁴ × 3² × 5¹ × 17² × 41¹ × 47¹
LCM(69360,69372) = 400970160