What is the Least Common Multiple of 9345 and 9354?

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 9345 and 9354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9345 and 9354, than apply into the LCM equation.

GCF(9345,9354) = 3
LCM(9345,9354) = ( 9345 × 9354) / 3
LCM(9345,9354) = 87413130 / 3
LCM(9345,9354) = 29137710

Least Common Multiple (LCM) of 9345 and 9354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9345 and 9354. First we will calculate the prime factors of 9345 and 9354.

Prime Factorization of 9345

Prime Factorization of 9354

Now multiplying the highest exponent prime factors to calculate the LCM of 9345 and 9354.

LCM(9345,9354) = 3¹ × 5¹ × 7¹ × 89¹ × 2¹ × 1559¹
LCM(9345,9354) = 29137710