What is the Least Common Multiple of 69288 and 69302?

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 69288 and 69302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69288 and 69302, than apply into the LCM equation.

GCF(69288,69302) = 2
LCM(69288,69302) = ( 69288 × 69302) / 2
LCM(69288,69302) = 4801796976 / 2
LCM(69288,69302) = 2400898488

Least Common Multiple (LCM) of 69288 and 69302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69288 and 69302. First we will calculate the prime factors of 69288 and 69302.

Prime Factorization of 69288

Prime Factorization of 69302

Now multiplying the highest exponent prime factors to calculate the LCM of 69288 and 69302.

LCM(69288,69302) = 2³ × 3¹ × 2887¹ × 34651¹
LCM(69288,69302) = 2400898488