What is the Least Common Multiple of 9330 and 9345?

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 9330 and 9345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9330 and 9345, than apply into the LCM equation.

GCF(9330,9345) = 15
LCM(9330,9345) = ( 9330 × 9345) / 15
LCM(9330,9345) = 87188850 / 15
LCM(9330,9345) = 5812590

Least Common Multiple (LCM) of 9330 and 9345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9330 and 9345. First we will calculate the prime factors of 9330 and 9345.

Prime Factorization of 9330

Prime Factorization of 9345

Now multiplying the highest exponent prime factors to calculate the LCM of 9330 and 9345.

LCM(9330,9345) = 2¹ × 3¹ × 5¹ × 311¹ × 7¹ × 89¹
LCM(9330,9345) = 5812590