What is the Least Common Multiple of 24678 and 24688?

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 24688 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 24688, than apply into the LCM equation.

GCF(24678,24688) = 2
LCM(24678,24688) = ( 24678 × 24688) / 2
LCM(24678,24688) = 609250464 / 2
LCM(24678,24688) = 304625232

Least Common Multiple (LCM) of 24678 and 24688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24678 and 24688. First we will calculate the prime factors of 24678 and 24688.

Prime Factorization of 24678

Prime Factorization of 24688

Now multiplying the highest exponent prime factors to calculate the LCM of 24678 and 24688.

LCM(24678,24688) = 2⁴ × 3³ × 457¹ × 1543¹
LCM(24678,24688) = 304625232