What is the Least Common Multiple of 16269 and 16277?

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 16269 and 16277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16269 and 16277, than apply into the LCM equation.

GCF(16269,16277) = 1
LCM(16269,16277) = ( 16269 × 16277) / 1
LCM(16269,16277) = 264810513 / 1
LCM(16269,16277) = 264810513

Least Common Multiple (LCM) of 16269 and 16277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16269 and 16277. First we will calculate the prime factors of 16269 and 16277.

Prime Factorization of 16269

Prime Factorization of 16277

Now multiplying the highest exponent prime factors to calculate the LCM of 16269 and 16277.

LCM(16269,16277) = 3¹ × 11¹ × 17¹ × 29¹ × 41¹ × 397¹
LCM(16269,16277) = 264810513