What is the Least Common Multiple of 10240 and 10255?

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 10240 and 10255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10240 and 10255, than apply into the LCM equation.

GCF(10240,10255) = 5
LCM(10240,10255) = ( 10240 × 10255) / 5
LCM(10240,10255) = 105011200 / 5
LCM(10240,10255) = 21002240

Least Common Multiple (LCM) of 10240 and 10255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10240 and 10255. First we will calculate the prime factors of 10240 and 10255.

Prime Factorization of 10240

Prime Factorization of 10255

Now multiplying the highest exponent prime factors to calculate the LCM of 10240 and 10255.

LCM(10240,10255) = 2¹¹ × 5¹ × 7¹ × 293¹
LCM(10240,10255) = 21002240