What is the Least Common Multiple of 9300 and 9306?

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 9300 and 9306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9300 and 9306, than apply into the LCM equation.

GCF(9300,9306) = 6
LCM(9300,9306) = ( 9300 × 9306) / 6
LCM(9300,9306) = 86545800 / 6
LCM(9300,9306) = 14424300

Least Common Multiple (LCM) of 9300 and 9306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9300 and 9306. First we will calculate the prime factors of 9300 and 9306.

Prime Factorization of 9300

Prime Factorization of 9306

Now multiplying the highest exponent prime factors to calculate the LCM of 9300 and 9306.

LCM(9300,9306) = 2² × 3² × 5² × 31¹ × 11¹ × 47¹
LCM(9300,9306) = 14424300