What is the Least Common Multiple of 10240 and 10252?

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 10252 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 10252, than apply into the LCM equation.

GCF(10240,10252) = 4
LCM(10240,10252) = ( 10240 × 10252) / 4
LCM(10240,10252) = 104980480 / 4
LCM(10240,10252) = 26245120

Least Common Multiple (LCM) of 10240 and 10252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10240 and 10252. First we will calculate the prime factors of 10240 and 10252.

Prime Factorization of 10240

Prime Factorization of 10252

Now multiplying the highest exponent prime factors to calculate the LCM of 10240 and 10252.

LCM(10240,10252) = 2¹¹ × 5¹ × 11¹ × 233¹
LCM(10240,10252) = 26245120