What is the Least Common Multiple of 17440 and 17450?

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 17440 and 17450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17440 and 17450, than apply into the LCM equation.

GCF(17440,17450) = 10
LCM(17440,17450) = ( 17440 × 17450) / 10
LCM(17440,17450) = 304328000 / 10
LCM(17440,17450) = 30432800

Least Common Multiple (LCM) of 17440 and 17450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17440 and 17450. First we will calculate the prime factors of 17440 and 17450.

Prime Factorization of 17440

Prime Factorization of 17450

Now multiplying the highest exponent prime factors to calculate the LCM of 17440 and 17450.

LCM(17440,17450) = 2⁵ × 5² × 109¹ × 349¹
LCM(17440,17450) = 30432800