What is the Least Common Multiple of 9339 and 9347?

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 9339 and 9347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9339 and 9347, than apply into the LCM equation.

GCF(9339,9347) = 1
LCM(9339,9347) = ( 9339 × 9347) / 1
LCM(9339,9347) = 87291633 / 1
LCM(9339,9347) = 87291633

Least Common Multiple (LCM) of 9339 and 9347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9339 and 9347. First we will calculate the prime factors of 9339 and 9347.

Prime Factorization of 9339

Prime Factorization of 9347

Now multiplying the highest exponent prime factors to calculate the LCM of 9339 and 9347.

LCM(9339,9347) = 3¹ × 11¹ × 283¹ × 13¹ × 719¹
LCM(9339,9347) = 87291633