What is the Least Common Multiple of 24395 and 24412?

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 24395 and 24412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24395 and 24412, than apply into the LCM equation.

GCF(24395,24412) = 17
LCM(24395,24412) = ( 24395 × 24412) / 17
LCM(24395,24412) = 595530740 / 17
LCM(24395,24412) = 35031220

Least Common Multiple (LCM) of 24395 and 24412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24395 and 24412. First we will calculate the prime factors of 24395 and 24412.

Prime Factorization of 24395

Prime Factorization of 24412

Now multiplying the highest exponent prime factors to calculate the LCM of 24395 and 24412.

LCM(24395,24412) = 5¹ × 7¹ × 17¹ × 41¹ × 2² × 359¹
LCM(24395,24412) = 35031220