What is the Least Common Multiple of 16320 and 16338?

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 16320 and 16338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16320 and 16338, than apply into the LCM equation.

GCF(16320,16338) = 6
LCM(16320,16338) = ( 16320 × 16338) / 6
LCM(16320,16338) = 266636160 / 6
LCM(16320,16338) = 44439360

Least Common Multiple (LCM) of 16320 and 16338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16320 and 16338. First we will calculate the prime factors of 16320 and 16338.

Prime Factorization of 16320

Prime Factorization of 16338

Now multiplying the highest exponent prime factors to calculate the LCM of 16320 and 16338.

LCM(16320,16338) = 2⁶ × 3¹ × 5¹ × 17¹ × 7¹ × 389¹
LCM(16320,16338) = 44439360