What is the Least Common Multiple of 11240 and 11251?

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 11240 and 11251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11240 and 11251, than apply into the LCM equation.

GCF(11240,11251) = 1
LCM(11240,11251) = ( 11240 × 11251) / 1
LCM(11240,11251) = 126461240 / 1
LCM(11240,11251) = 126461240

Least Common Multiple (LCM) of 11240 and 11251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11240 and 11251. First we will calculate the prime factors of 11240 and 11251.

Prime Factorization of 11240

Prime Factorization of 11251

Now multiplying the highest exponent prime factors to calculate the LCM of 11240 and 11251.

LCM(11240,11251) = 2³ × 5¹ × 281¹ × 11251¹
LCM(11240,11251) = 126461240