What is the Least Common Multiple of 16241 and 16255?

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 16241 and 16255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16241 and 16255, than apply into the LCM equation.

GCF(16241,16255) = 1
LCM(16241,16255) = ( 16241 × 16255) / 1
LCM(16241,16255) = 263997455 / 1
LCM(16241,16255) = 263997455

Least Common Multiple (LCM) of 16241 and 16255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16241 and 16255. First we will calculate the prime factors of 16241 and 16255.

Prime Factorization of 16241

Prime Factorization of 16255

Now multiplying the highest exponent prime factors to calculate the LCM of 16241 and 16255.

LCM(16241,16255) = 109¹ × 149¹ × 5¹ × 3251¹
LCM(16241,16255) = 263997455