What is the Least Common Multiple of 11574 and 11588?

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 11574 and 11588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11574 and 11588, than apply into the LCM equation.

GCF(11574,11588) = 2
LCM(11574,11588) = ( 11574 × 11588) / 2
LCM(11574,11588) = 134119512 / 2
LCM(11574,11588) = 67059756

Least Common Multiple (LCM) of 11574 and 11588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11574 and 11588. First we will calculate the prime factors of 11574 and 11588.

Prime Factorization of 11574

Prime Factorization of 11588

Now multiplying the highest exponent prime factors to calculate the LCM of 11574 and 11588.

LCM(11574,11588) = 2² × 3² × 643¹ × 2897¹
LCM(11574,11588) = 67059756