What is the Least Common Multiple of 24656 and 24674?

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 24656 and 24674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24656 and 24674, than apply into the LCM equation.

GCF(24656,24674) = 2
LCM(24656,24674) = ( 24656 × 24674) / 2
LCM(24656,24674) = 608362144 / 2
LCM(24656,24674) = 304181072

Least Common Multiple (LCM) of 24656 and 24674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24656 and 24674. First we will calculate the prime factors of 24656 and 24674.

Prime Factorization of 24656

Prime Factorization of 24674

Now multiplying the highest exponent prime factors to calculate the LCM of 24656 and 24674.

LCM(24656,24674) = 2⁴ × 23¹ × 67¹ × 13² × 73¹
LCM(24656,24674) = 304181072