What is the Least Common Multiple of 24596 and 24611?

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 24596 and 24611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24596 and 24611, than apply into the LCM equation.

GCF(24596,24611) = 1
LCM(24596,24611) = ( 24596 × 24611) / 1
LCM(24596,24611) = 605332156 / 1
LCM(24596,24611) = 605332156

Least Common Multiple (LCM) of 24596 and 24611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24596 and 24611. First we will calculate the prime factors of 24596 and 24611.

Prime Factorization of 24596

Prime Factorization of 24611

Now multiplying the highest exponent prime factors to calculate the LCM of 24596 and 24611.

LCM(24596,24611) = 2² × 11¹ × 13¹ × 43¹ × 24611¹
LCM(24596,24611) = 605332156