What is the Least Common Multiple of 16320 and 16332?

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 16332 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 16332, than apply into the LCM equation.

GCF(16320,16332) = 12
LCM(16320,16332) = ( 16320 × 16332) / 12
LCM(16320,16332) = 266538240 / 12
LCM(16320,16332) = 22211520

Least Common Multiple (LCM) of 16320 and 16332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16320 and 16332. First we will calculate the prime factors of 16320 and 16332.

Prime Factorization of 16320

Prime Factorization of 16332

Now multiplying the highest exponent prime factors to calculate the LCM of 16320 and 16332.

LCM(16320,16332) = 2⁶ × 3¹ × 5¹ × 17¹ × 1361¹
LCM(16320,16332) = 22211520