What is the Least Common Multiple of 9333 and 9342?

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 9333 and 9342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9333 and 9342, than apply into the LCM equation.

GCF(9333,9342) = 9
LCM(9333,9342) = ( 9333 × 9342) / 9
LCM(9333,9342) = 87188886 / 9
LCM(9333,9342) = 9687654

Least Common Multiple (LCM) of 9333 and 9342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9333 and 9342. First we will calculate the prime factors of 9333 and 9342.

Prime Factorization of 9333

Prime Factorization of 9342

Now multiplying the highest exponent prime factors to calculate the LCM of 9333 and 9342.

LCM(9333,9342) = 3³ × 17¹ × 61¹ × 2¹ × 173¹
LCM(9333,9342) = 9687654