What is the Least Common Multiple of 36303 and 36309?

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 36303 and 36309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36303 and 36309, than apply into the LCM equation.

GCF(36303,36309) = 3
LCM(36303,36309) = ( 36303 × 36309) / 3
LCM(36303,36309) = 1318125627 / 3
LCM(36303,36309) = 439375209

Least Common Multiple (LCM) of 36303 and 36309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36303 and 36309. First we will calculate the prime factors of 36303 and 36309.

Prime Factorization of 36303

Prime Factorization of 36309

Now multiplying the highest exponent prime factors to calculate the LCM of 36303 and 36309.

LCM(36303,36309) = 3¹ × 12101¹ × 7² × 13¹ × 19¹
LCM(36303,36309) = 439375209