GCF and LCM Calculator Logo

What is the Least Common Multiple of 17395 and 17415?

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 17395 and 17415 is 60586785.

LCM(17395,17415) = 60586785

LCM Calculator and
and

Least Common Multiple of 17395 and 17415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17395 and 17415, than apply into the LCM equation.

GCF(17395,17415) = 5
LCM(17395,17415) = ( 17395 × 17415) / 5
LCM(17395,17415) = 302933925 / 5
LCM(17395,17415) = 60586785

Least Common Multiple (LCM) of 17395 and 17415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17395 and 17415. First we will calculate the prime factors of 17395 and 17415.

Prime Factorization of 17395

Prime factors of 17395 are 5, 7, 71. Prime factorization of 17395 in exponential form is:

17395 = 51 × 72 × 711

Prime Factorization of 17415

Prime factors of 17415 are 3, 5, 43. Prime factorization of 17415 in exponential form is:

17415 = 34 × 51 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 17395 and 17415.

LCM(17395,17415) = 51 × 72 × 711 × 34 × 431
LCM(17395,17415) = 60586785