What is the Least Common Multiple of 24500 and 24514?

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 24500 and 24514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24500 and 24514, than apply into the LCM equation.

GCF(24500,24514) = 14
LCM(24500,24514) = ( 24500 × 24514) / 14
LCM(24500,24514) = 600593000 / 14
LCM(24500,24514) = 42899500

Least Common Multiple (LCM) of 24500 and 24514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24500 and 24514. First we will calculate the prime factors of 24500 and 24514.

Prime Factorization of 24500

Prime Factorization of 24514

Now multiplying the highest exponent prime factors to calculate the LCM of 24500 and 24514.

LCM(24500,24514) = 2² × 5³ × 7² × 17¹ × 103¹
LCM(24500,24514) = 42899500