What is the Least Common Multiple of 17440 and 17454?

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 17454 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 17454, than apply into the LCM equation.

GCF(17440,17454) = 2
LCM(17440,17454) = ( 17440 × 17454) / 2
LCM(17440,17454) = 304397760 / 2
LCM(17440,17454) = 152198880

Least Common Multiple (LCM) of 17440 and 17454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17440 and 17454. First we will calculate the prime factors of 17440 and 17454.

Prime Factorization of 17440

Prime Factorization of 17454

Now multiplying the highest exponent prime factors to calculate the LCM of 17440 and 17454.

LCM(17440,17454) = 2⁵ × 5¹ × 109¹ × 3¹ × 2909¹
LCM(17440,17454) = 152198880