What is the Least Common Multiple of 69705 and 69717?

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 69705 and 69717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69705 and 69717, than apply into the LCM equation.

GCF(69705,69717) = 3
LCM(69705,69717) = ( 69705 × 69717) / 3
LCM(69705,69717) = 4859623485 / 3
LCM(69705,69717) = 1619874495

Least Common Multiple (LCM) of 69705 and 69717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69705 and 69717. First we will calculate the prime factors of 69705 and 69717.

Prime Factorization of 69705

Prime Factorization of 69717

Now multiplying the highest exponent prime factors to calculate the LCM of 69705 and 69717.

LCM(69705,69717) = 3² × 5¹ × 1549¹ × 17¹ × 1367¹
LCM(69705,69717) = 1619874495