What is the Least Common Multiple of 24678 and 24682?

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 24678 and 24682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24678 and 24682, than apply into the LCM equation.

GCF(24678,24682) = 2
LCM(24678,24682) = ( 24678 × 24682) / 2
LCM(24678,24682) = 609102396 / 2
LCM(24678,24682) = 304551198

Least Common Multiple (LCM) of 24678 and 24682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24678 and 24682. First we will calculate the prime factors of 24678 and 24682.

Prime Factorization of 24678

Prime Factorization of 24682

Now multiplying the highest exponent prime factors to calculate the LCM of 24678 and 24682.

LCM(24678,24682) = 2¹ × 3³ × 457¹ × 7¹ × 41¹ × 43¹
LCM(24678,24682) = 304551198