What is the Least Common Multiple of 11634 and 11640?

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 11634 and 11640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11634 and 11640, than apply into the LCM equation.

GCF(11634,11640) = 6
LCM(11634,11640) = ( 11634 × 11640) / 6
LCM(11634,11640) = 135419760 / 6
LCM(11634,11640) = 22569960

Least Common Multiple (LCM) of 11634 and 11640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11634 and 11640. First we will calculate the prime factors of 11634 and 11640.

Prime Factorization of 11634

Prime Factorization of 11640

Now multiplying the highest exponent prime factors to calculate the LCM of 11634 and 11640.

LCM(11634,11640) = 2³ × 3¹ × 7¹ × 277¹ × 5¹ × 97¹
LCM(11634,11640) = 22569960