GCF and LCM Calculator Logo

What is the Least Common Multiple of 17429 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 (LCM) of 17429 and 17440 is 303961760.

LCM(17429,17440) = 303961760

LCM Calculator and
and

Least Common Multiple of 17429 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 17429 and 17440, than apply into the LCM equation.

GCF(17429,17440) = 1
LCM(17429,17440) = ( 17429 × 17440) / 1
LCM(17429,17440) = 303961760 / 1
LCM(17429,17440) = 303961760

Least Common Multiple (LCM) of 17429 and 17440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17429 and 17440. First we will calculate the prime factors of 17429 and 17440.

Prime Factorization of 17429

Prime factors of 17429 are 29, 601. Prime factorization of 17429 in exponential form is:

17429 = 291 × 6011

Prime Factorization of 17440

Prime factors of 17440 are 2, 5, 109. Prime factorization of 17440 in exponential form is:

17440 = 25 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 17429 and 17440.

LCM(17429,17440) = 291 × 6011 × 25 × 51 × 1091
LCM(17429,17440) = 303961760