What is the Least Common Multiple of 16140 and 16149?

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 16140 and 16149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16140 and 16149, than apply into the LCM equation.

GCF(16140,16149) = 3
LCM(16140,16149) = ( 16140 × 16149) / 3
LCM(16140,16149) = 260644860 / 3
LCM(16140,16149) = 86881620

Least Common Multiple (LCM) of 16140 and 16149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16140 and 16149. First we will calculate the prime factors of 16140 and 16149.

Prime Factorization of 16140

Prime Factorization of 16149

Now multiplying the highest exponent prime factors to calculate the LCM of 16140 and 16149.

LCM(16140,16149) = 2² × 3¹ × 5¹ × 269¹ × 7¹ × 769¹
LCM(16140,16149) = 86881620