What is the Least Common Multiple of 16443 and 16457?

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 16443 and 16457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16443 and 16457, than apply into the LCM equation.

GCF(16443,16457) = 7
LCM(16443,16457) = ( 16443 × 16457) / 7
LCM(16443,16457) = 270602451 / 7
LCM(16443,16457) = 38657493

Least Common Multiple (LCM) of 16443 and 16457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16443 and 16457. First we will calculate the prime factors of 16443 and 16457.

Prime Factorization of 16443

Prime Factorization of 16457

Now multiplying the highest exponent prime factors to calculate the LCM of 16443 and 16457.

LCM(16443,16457) = 3⁴ × 7¹ × 29¹ × 2351¹
LCM(16443,16457) = 38657493