What is the Least Common Multiple of 11256 and 11262?

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 11256 and 11262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11256 and 11262, than apply into the LCM equation.

GCF(11256,11262) = 6
LCM(11256,11262) = ( 11256 × 11262) / 6
LCM(11256,11262) = 126765072 / 6
LCM(11256,11262) = 21127512

Least Common Multiple (LCM) of 11256 and 11262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11256 and 11262. First we will calculate the prime factors of 11256 and 11262.

Prime Factorization of 11256

Prime Factorization of 11262

Now multiplying the highest exponent prime factors to calculate the LCM of 11256 and 11262.

LCM(11256,11262) = 2³ × 3¹ × 7¹ × 67¹ × 1877¹
LCM(11256,11262) = 21127512