What is the Least Common Multiple of 11506 and 11513?

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 11513 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 11513, than apply into the LCM equation.

GCF(11506,11513) = 1
LCM(11506,11513) = ( 11506 × 11513) / 1
LCM(11506,11513) = 132468578 / 1
LCM(11506,11513) = 132468578

Least Common Multiple (LCM) of 11506 and 11513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11506 and 11513. First we will calculate the prime factors of 11506 and 11513.

Prime Factorization of 11506

Prime Factorization of 11513

Now multiplying the highest exponent prime factors to calculate the LCM of 11506 and 11513.

LCM(11506,11513) = 2¹ × 11¹ × 523¹ × 29¹ × 397¹
LCM(11506,11513) = 132468578