What is the Least Common Multiple of 9306 and 9319?

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 9319 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 9319, than apply into the LCM equation.

GCF(9306,9319) = 1
LCM(9306,9319) = ( 9306 × 9319) / 1
LCM(9306,9319) = 86722614 / 1
LCM(9306,9319) = 86722614

Least Common Multiple (LCM) of 9306 and 9319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9306 and 9319. First we will calculate the prime factors of 9306 and 9319.

Prime Factorization of 9306

Prime Factorization of 9319

Now multiplying the highest exponent prime factors to calculate the LCM of 9306 and 9319.

LCM(9306,9319) = 2¹ × 3² × 11¹ × 47¹ × 9319¹
LCM(9306,9319) = 86722614