What is the Least Common Multiple of 16456 and 16460?

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 16456 and 16460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16456 and 16460, than apply into the LCM equation.

GCF(16456,16460) = 4
LCM(16456,16460) = ( 16456 × 16460) / 4
LCM(16456,16460) = 270865760 / 4
LCM(16456,16460) = 67716440

Least Common Multiple (LCM) of 16456 and 16460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16456 and 16460. First we will calculate the prime factors of 16456 and 16460.

Prime Factorization of 16456

Prime Factorization of 16460

Now multiplying the highest exponent prime factors to calculate the LCM of 16456 and 16460.

LCM(16456,16460) = 2³ × 11² × 17¹ × 5¹ × 823¹
LCM(16456,16460) = 67716440