What is the Least Common Multiple of 69264 and 69284?

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 69284 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 69284, than apply into the LCM equation.

GCF(69264,69284) = 4
LCM(69264,69284) = ( 69264 × 69284) / 4
LCM(69264,69284) = 4798886976 / 4
LCM(69264,69284) = 1199721744

Least Common Multiple (LCM) of 69264 and 69284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69264 and 69284. First we will calculate the prime factors of 69264 and 69284.

Prime Factorization of 69264

Prime Factorization of 69284

Now multiplying the highest exponent prime factors to calculate the LCM of 69264 and 69284.

LCM(69264,69284) = 2⁴ × 3² × 13¹ × 37¹ × 17321¹
LCM(69264,69284) = 1199721744