What is the Least Common Multiple of 16749 and 16767?

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 16749 and 16767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16749 and 16767, than apply into the LCM equation.

GCF(16749,16767) = 9
LCM(16749,16767) = ( 16749 × 16767) / 9
LCM(16749,16767) = 280830483 / 9
LCM(16749,16767) = 31203387

Least Common Multiple (LCM) of 16749 and 16767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16749 and 16767. First we will calculate the prime factors of 16749 and 16767.

Prime Factorization of 16749

Prime Factorization of 16767

Now multiplying the highest exponent prime factors to calculate the LCM of 16749 and 16767.

LCM(16749,16767) = 3⁶ × 1861¹ × 23¹
LCM(16749,16767) = 31203387