What is the Least Common Multiple of 11472 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 11472 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 11472 and 11489, than apply into the LCM equation.

GCF(11472,11489) = 1
LCM(11472,11489) = ( 11472 × 11489) / 1
LCM(11472,11489) = 131801808 / 1
LCM(11472,11489) = 131801808

Least Common Multiple (LCM) of 11472 and 11489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11472 and 11489. First we will calculate the prime factors of 11472 and 11489.

Prime Factorization of 11472

Prime Factorization of 11489

Now multiplying the highest exponent prime factors to calculate the LCM of 11472 and 11489.

LCM(11472,11489) = 2⁴ × 3¹ × 239¹ × 11489¹
LCM(11472,11489) = 131801808