What is the Least Common Multiple of 16257 and 16268?

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 16257 and 16268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16257 and 16268, than apply into the LCM equation.

GCF(16257,16268) = 1
LCM(16257,16268) = ( 16257 × 16268) / 1
LCM(16257,16268) = 264468876 / 1
LCM(16257,16268) = 264468876

Least Common Multiple (LCM) of 16257 and 16268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16257 and 16268. First we will calculate the prime factors of 16257 and 16268.

Prime Factorization of 16257

Prime Factorization of 16268

Now multiplying the highest exponent prime factors to calculate the LCM of 16257 and 16268.

LCM(16257,16268) = 3¹ × 5419¹ × 2² × 7² × 83¹
LCM(16257,16268) = 264468876