What is the Least Common Multiple of 11506 and 11522?

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 11522 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 11522, than apply into the LCM equation.

GCF(11506,11522) = 2
LCM(11506,11522) = ( 11506 × 11522) / 2
LCM(11506,11522) = 132572132 / 2
LCM(11506,11522) = 66286066

Least Common Multiple (LCM) of 11506 and 11522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11506 and 11522. First we will calculate the prime factors of 11506 and 11522.

Prime Factorization of 11506

Prime Factorization of 11522

Now multiplying the highest exponent prime factors to calculate the LCM of 11506 and 11522.

LCM(11506,11522) = 2¹ × 11¹ × 523¹ × 7¹ × 823¹
LCM(11506,11522) = 66286066