What is the Least Common Multiple of 24674 and 24678?

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 24674 and 24678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24674 and 24678, than apply into the LCM equation.

GCF(24674,24678) = 2
LCM(24674,24678) = ( 24674 × 24678) / 2
LCM(24674,24678) = 608904972 / 2
LCM(24674,24678) = 304452486

Least Common Multiple (LCM) of 24674 and 24678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24674 and 24678. First we will calculate the prime factors of 24674 and 24678.

Prime Factorization of 24674

Prime Factorization of 24678

Now multiplying the highest exponent prime factors to calculate the LCM of 24674 and 24678.

LCM(24674,24678) = 2¹ × 13² × 73¹ × 3³ × 457¹
LCM(24674,24678) = 304452486