What is the Least Common Multiple of 11250 and 11256?

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 11250 and 11256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11250 and 11256, than apply into the LCM equation.

GCF(11250,11256) = 6
LCM(11250,11256) = ( 11250 × 11256) / 6
LCM(11250,11256) = 126630000 / 6
LCM(11250,11256) = 21105000

Least Common Multiple (LCM) of 11250 and 11256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11250 and 11256. First we will calculate the prime factors of 11250 and 11256.

Prime Factorization of 11250

Prime Factorization of 11256

Now multiplying the highest exponent prime factors to calculate the LCM of 11250 and 11256.

LCM(11250,11256) = 2³ × 3² × 5⁴ × 7¹ × 67¹
LCM(11250,11256) = 21105000