What is the Least Common Multiple of 11640 and 11650?

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 11650 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 11650, than apply into the LCM equation.

GCF(11640,11650) = 10
LCM(11640,11650) = ( 11640 × 11650) / 10
LCM(11640,11650) = 135606000 / 10
LCM(11640,11650) = 13560600

Least Common Multiple (LCM) of 11640 and 11650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11640 and 11650. First we will calculate the prime factors of 11640 and 11650.

Prime Factorization of 11640

Prime Factorization of 11650

Now multiplying the highest exponent prime factors to calculate the LCM of 11640 and 11650.

LCM(11640,11650) = 2³ × 3¹ × 5² × 97¹ × 233¹
LCM(11640,11650) = 13560600