What is the Least Common Multiple of 11616 and 11634?

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 11616 and 11634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11616 and 11634, than apply into the LCM equation.

GCF(11616,11634) = 6
LCM(11616,11634) = ( 11616 × 11634) / 6
LCM(11616,11634) = 135140544 / 6
LCM(11616,11634) = 22523424

Least Common Multiple (LCM) of 11616 and 11634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11616 and 11634. First we will calculate the prime factors of 11616 and 11634.

Prime Factorization of 11616

Prime Factorization of 11634

Now multiplying the highest exponent prime factors to calculate the LCM of 11616 and 11634.

LCM(11616,11634) = 2⁵ × 3¹ × 11² × 7¹ × 277¹
LCM(11616,11634) = 22523424