What is the Least Common Multiple of 69300 and 69304?

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 69300 and 69304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69300 and 69304, than apply into the LCM equation.

GCF(69300,69304) = 4
LCM(69300,69304) = ( 69300 × 69304) / 4
LCM(69300,69304) = 4802767200 / 4
LCM(69300,69304) = 1200691800

Least Common Multiple (LCM) of 69300 and 69304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69300 and 69304. First we will calculate the prime factors of 69300 and 69304.

Prime Factorization of 69300

Prime Factorization of 69304

Now multiplying the highest exponent prime factors to calculate the LCM of 69300 and 69304.

LCM(69300,69304) = 2³ × 3² × 5² × 7¹ × 11¹ × 8663¹
LCM(69300,69304) = 1200691800