What is the Least Common Multiple of 9324 and 9338?

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 9324 and 9338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9324 and 9338, than apply into the LCM equation.

GCF(9324,9338) = 14
LCM(9324,9338) = ( 9324 × 9338) / 14
LCM(9324,9338) = 87067512 / 14
LCM(9324,9338) = 6219108

Least Common Multiple (LCM) of 9324 and 9338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9324 and 9338. First we will calculate the prime factors of 9324 and 9338.

Prime Factorization of 9324

Prime Factorization of 9338

Now multiplying the highest exponent prime factors to calculate the LCM of 9324 and 9338.

LCM(9324,9338) = 2² × 3² × 7¹ × 37¹ × 23¹ × 29¹
LCM(9324,9338) = 6219108