What is the Least Common Multiple of 69264 and 69280?

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 69264 and 69280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69264 and 69280, than apply into the LCM equation.

GCF(69264,69280) = 16
LCM(69264,69280) = ( 69264 × 69280) / 16
LCM(69264,69280) = 4798609920 / 16
LCM(69264,69280) = 299913120

Least Common Multiple (LCM) of 69264 and 69280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69264 and 69280. First we will calculate the prime factors of 69264 and 69280.

Prime Factorization of 69264

Prime Factorization of 69280

Now multiplying the highest exponent prime factors to calculate the LCM of 69264 and 69280.

LCM(69264,69280) = 2⁵ × 3² × 13¹ × 37¹ × 5¹ × 433¹
LCM(69264,69280) = 299913120