What is the Least Common Multiple of 11469 and 11489?

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 11469 and 11489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11469 and 11489, than apply into the LCM equation.

GCF(11469,11489) = 1
LCM(11469,11489) = ( 11469 × 11489) / 1
LCM(11469,11489) = 131767341 / 1
LCM(11469,11489) = 131767341

Least Common Multiple (LCM) of 11469 and 11489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11469 and 11489. First we will calculate the prime factors of 11469 and 11489.

Prime Factorization of 11469

Prime Factorization of 11489

Now multiplying the highest exponent prime factors to calculate the LCM of 11469 and 11489.

LCM(11469,11489) = 3¹ × 3823¹ × 11489¹
LCM(11469,11489) = 131767341