What is the Least Common Multiple of 11640 and 11659?

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 11640 and 11659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11640 and 11659, than apply into the LCM equation.

GCF(11640,11659) = 1
LCM(11640,11659) = ( 11640 × 11659) / 1
LCM(11640,11659) = 135710760 / 1
LCM(11640,11659) = 135710760

Least Common Multiple (LCM) of 11640 and 11659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11640 and 11659. First we will calculate the prime factors of 11640 and 11659.

Prime Factorization of 11640

Prime Factorization of 11659

Now multiplying the highest exponent prime factors to calculate the LCM of 11640 and 11659.

LCM(11640,11659) = 2³ × 3¹ × 5¹ × 97¹ × 89¹ × 131¹
LCM(11640,11659) = 135710760