What is the Least Common Multiple of 11506 and 11524?

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 11506 and 11524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11506 and 11524, than apply into the LCM equation.

GCF(11506,11524) = 2
LCM(11506,11524) = ( 11506 × 11524) / 2
LCM(11506,11524) = 132595144 / 2
LCM(11506,11524) = 66297572

Least Common Multiple (LCM) of 11506 and 11524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11506 and 11524. First we will calculate the prime factors of 11506 and 11524.

Prime Factorization of 11506

Prime Factorization of 11524

Now multiplying the highest exponent prime factors to calculate the LCM of 11506 and 11524.

LCM(11506,11524) = 2² × 11¹ × 523¹ × 43¹ × 67¹
LCM(11506,11524) = 66297572