GCF and LCM Calculator Logo

What is the Least Common Multiple of 17705 and 17710?

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 17705 and 17710 is 62711110.

LCM(17705,17710) = 62711110

LCM Calculator and
and

Least Common Multiple of 17705 and 17710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17705 and 17710, than apply into the LCM equation.

GCF(17705,17710) = 5
LCM(17705,17710) = ( 17705 × 17710) / 5
LCM(17705,17710) = 313555550 / 5
LCM(17705,17710) = 62711110

Least Common Multiple (LCM) of 17705 and 17710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17705 and 17710. First we will calculate the prime factors of 17705 and 17710.

Prime Factorization of 17705

Prime factors of 17705 are 5, 3541. Prime factorization of 17705 in exponential form is:

17705 = 51 × 35411

Prime Factorization of 17710

Prime factors of 17710 are 2, 5, 7, 11, 23. Prime factorization of 17710 in exponential form is:

17710 = 21 × 51 × 71 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 17705 and 17710.

LCM(17705,17710) = 51 × 35411 × 21 × 71 × 111 × 231
LCM(17705,17710) = 62711110