What is the Least Common Multiple of 24280 and 24294?

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 24280 and 24294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24280 and 24294, than apply into the LCM equation.

GCF(24280,24294) = 2
LCM(24280,24294) = ( 24280 × 24294) / 2
LCM(24280,24294) = 589858320 / 2
LCM(24280,24294) = 294929160

Least Common Multiple (LCM) of 24280 and 24294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24280 and 24294. First we will calculate the prime factors of 24280 and 24294.

Prime Factorization of 24280

Prime Factorization of 24294

Now multiplying the highest exponent prime factors to calculate the LCM of 24280 and 24294.

LCM(24280,24294) = 2³ × 5¹ × 607¹ × 3¹ × 4049¹
LCM(24280,24294) = 294929160