What is the Least Common Multiple of 11496 and 11509?

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 11496 and 11509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11496 and 11509, than apply into the LCM equation.

GCF(11496,11509) = 1
LCM(11496,11509) = ( 11496 × 11509) / 1
LCM(11496,11509) = 132307464 / 1
LCM(11496,11509) = 132307464

Least Common Multiple (LCM) of 11496 and 11509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11496 and 11509. First we will calculate the prime factors of 11496 and 11509.

Prime Factorization of 11496

Prime Factorization of 11509

Now multiplying the highest exponent prime factors to calculate the LCM of 11496 and 11509.

LCM(11496,11509) = 2³ × 3¹ × 479¹ × 17¹ × 677¹
LCM(11496,11509) = 132307464