What is the Least Common Multiple of 17440 and 17460?

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 17460 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 17460, than apply into the LCM equation.

GCF(17440,17460) = 20
LCM(17440,17460) = ( 17440 × 17460) / 20
LCM(17440,17460) = 304502400 / 20
LCM(17440,17460) = 15225120

Least Common Multiple (LCM) of 17440 and 17460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17440 and 17460. First we will calculate the prime factors of 17440 and 17460.

Prime Factorization of 17440

Prime Factorization of 17460

Now multiplying the highest exponent prime factors to calculate the LCM of 17440 and 17460.

LCM(17440,17460) = 2⁵ × 5¹ × 109¹ × 3² × 97¹
LCM(17440,17460) = 15225120