What is the Least Common Multiple of 13475 and 13495?

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 13475 and 13495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13475 and 13495, than apply into the LCM equation.

GCF(13475,13495) = 5
LCM(13475,13495) = ( 13475 × 13495) / 5
LCM(13475,13495) = 181845125 / 5
LCM(13475,13495) = 36369025

Least Common Multiple (LCM) of 13475 and 13495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13475 and 13495. First we will calculate the prime factors of 13475 and 13495.

Prime Factorization of 13475

Prime Factorization of 13495

Now multiplying the highest exponent prime factors to calculate the LCM of 13475 and 13495.

LCM(13475,13495) = 5² × 7² × 11¹ × 2699¹
LCM(13475,13495) = 36369025