What is the Least Common Multiple of 17430 and 17440?

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 17430 and 17440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17430 and 17440, than apply into the LCM equation.

GCF(17430,17440) = 10
LCM(17430,17440) = ( 17430 × 17440) / 10
LCM(17430,17440) = 303979200 / 10
LCM(17430,17440) = 30397920

Least Common Multiple (LCM) of 17430 and 17440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17430 and 17440. First we will calculate the prime factors of 17430 and 17440.

Prime Factorization of 17430

Prime Factorization of 17440

Now multiplying the highest exponent prime factors to calculate the LCM of 17430 and 17440.

LCM(17430,17440) = 2⁵ × 3¹ × 5¹ × 7¹ × 83¹ × 109¹
LCM(17430,17440) = 30397920