GCF and LCM Calculator Logo

Least Common Multiple of 14 and 29

Least common multiple (LCM) of 14 and 29 is 406.

LCM(14,29) = 406

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.

LCM Calculator and

Least Common Multiple of 14 and 29 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14 and 29, than apply into the LCM equation.

GCF(14,29) = 1
LCM(14,29) = ( 14 × 29) / 1
LCM(14,29) = 406 / 1
LCM(14,29) = 406

Least Common Multiple (LCM) of 14 and 29 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14 and 29. First we will calculate the prime factors of 14 and 29.

Prime Factorization of 14

Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

14 = 21 × 71

Prime Factorization of 29

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

29 = 291

Now multiplying the highest exponent prime factors to calculate the LCM of 14 and 29.

LCM(14,29) = 21 × 71 × 291
LCM(14,29) = 406

Please share your comments

This website uses cookies to collect information about how you interact with our website. We use this information in order to improve and customize your browsing experience and for analytics and metrics about our visitors. To find out more about the cookies we use, see our Privacy Policy.