What is the Least Common Multiple of 9306 and 9310?

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 9306 and 9310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9306 and 9310, than apply into the LCM equation.

GCF(9306,9310) = 2
LCM(9306,9310) = ( 9306 × 9310) / 2
LCM(9306,9310) = 86638860 / 2
LCM(9306,9310) = 43319430

Least Common Multiple (LCM) of 9306 and 9310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9306 and 9310. First we will calculate the prime factors of 9306 and 9310.

Prime Factorization of 9306

Prime Factorization of 9310

Now multiplying the highest exponent prime factors to calculate the LCM of 9306 and 9310.

LCM(9306,9310) = 2¹ × 3² × 11¹ × 47¹ × 5¹ × 7² × 19¹
LCM(9306,9310) = 43319430