What is the Least Common Multiple of 9342 and 9348?

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 9342 and 9348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9342 and 9348, than apply into the LCM equation.

GCF(9342,9348) = 6
LCM(9342,9348) = ( 9342 × 9348) / 6
LCM(9342,9348) = 87329016 / 6
LCM(9342,9348) = 14554836

Least Common Multiple (LCM) of 9342 and 9348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9342 and 9348. First we will calculate the prime factors of 9342 and 9348.

Prime Factorization of 9342

Prime Factorization of 9348

Now multiplying the highest exponent prime factors to calculate the LCM of 9342 and 9348.

LCM(9342,9348) = 2² × 3³ × 173¹ × 19¹ × 41¹
LCM(9342,9348) = 14554836