GCF and LCM Calculator Logo

What is the Least Common Multiple of 67705 and 67717?

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 67705 and 67717 is 4584779485.

LCM(67705,67717) = 4584779485

LCM Calculator and
and

Least Common Multiple of 67705 and 67717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67705 and 67717, than apply into the LCM equation.

GCF(67705,67717) = 1
LCM(67705,67717) = ( 67705 × 67717) / 1
LCM(67705,67717) = 4584779485 / 1
LCM(67705,67717) = 4584779485

Least Common Multiple (LCM) of 67705 and 67717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67705 and 67717. First we will calculate the prime factors of 67705 and 67717.

Prime Factorization of 67705

Prime factors of 67705 are 5, 11, 1231. Prime factorization of 67705 in exponential form is:

67705 = 51 × 111 × 12311

Prime Factorization of 67717

Prime factors of 67717 are 13, 5209. Prime factorization of 67717 in exponential form is:

67717 = 131 × 52091

Now multiplying the highest exponent prime factors to calculate the LCM of 67705 and 67717.

LCM(67705,67717) = 51 × 111 × 12311 × 131 × 52091
LCM(67705,67717) = 4584779485