What is the Least Common Multiple of 16240 and 16256?

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 16240 and 16256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16240 and 16256, than apply into the LCM equation.

GCF(16240,16256) = 16
LCM(16240,16256) = ( 16240 × 16256) / 16
LCM(16240,16256) = 263997440 / 16
LCM(16240,16256) = 16499840

Least Common Multiple (LCM) of 16240 and 16256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16240 and 16256. First we will calculate the prime factors of 16240 and 16256.

Prime Factorization of 16240

Prime Factorization of 16256

Now multiplying the highest exponent prime factors to calculate the LCM of 16240 and 16256.

LCM(16240,16256) = 2⁷ × 5¹ × 7¹ × 29¹ × 127¹
LCM(16240,16256) = 16499840