What is the Least Common Multiple of 11578 and 11584?

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 11578 and 11584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11578 and 11584, than apply into the LCM equation.

GCF(11578,11584) = 2
LCM(11578,11584) = ( 11578 × 11584) / 2
LCM(11578,11584) = 134119552 / 2
LCM(11578,11584) = 67059776

Least Common Multiple (LCM) of 11578 and 11584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11578 and 11584. First we will calculate the prime factors of 11578 and 11584.

Prime Factorization of 11578

Prime Factorization of 11584

Now multiplying the highest exponent prime factors to calculate the LCM of 11578 and 11584.

LCM(11578,11584) = 2⁶ × 7¹ × 827¹ × 181¹
LCM(11578,11584) = 67059776