What is the Least Common Multiple of 16380 and 16384?

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 16380 and 16384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16380 and 16384, than apply into the LCM equation.

GCF(16380,16384) = 4
LCM(16380,16384) = ( 16380 × 16384) / 4
LCM(16380,16384) = 268369920 / 4
LCM(16380,16384) = 67092480

Least Common Multiple (LCM) of 16380 and 16384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16380 and 16384. First we will calculate the prime factors of 16380 and 16384.

Prime Factorization of 16380

Prime Factorization of 16384

Now multiplying the highest exponent prime factors to calculate the LCM of 16380 and 16384.

LCM(16380,16384) = 2¹⁴ × 3² × 5¹ × 7¹ × 13¹
LCM(16380,16384) = 67092480