What is the Least Common Multiple of 69280 and 69288?

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 69280 and 69288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69280 and 69288, than apply into the LCM equation.

GCF(69280,69288) = 8
LCM(69280,69288) = ( 69280 × 69288) / 8
LCM(69280,69288) = 4800272640 / 8
LCM(69280,69288) = 600034080

Least Common Multiple (LCM) of 69280 and 69288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69280 and 69288. First we will calculate the prime factors of 69280 and 69288.

Prime Factorization of 69280

Prime Factorization of 69288

Now multiplying the highest exponent prime factors to calculate the LCM of 69280 and 69288.

LCM(69280,69288) = 2⁵ × 5¹ × 433¹ × 3¹ × 2887¹
LCM(69280,69288) = 600034080