What is the Least Common Multiple of 77697 and 77717?

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 77697 and 77717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77697 and 77717, than apply into the LCM equation.

GCF(77697,77717) = 1
LCM(77697,77717) = ( 77697 × 77717) / 1
LCM(77697,77717) = 6038377749 / 1
LCM(77697,77717) = 6038377749

Least Common Multiple (LCM) of 77697 and 77717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77697 and 77717. First we will calculate the prime factors of 77697 and 77717.

Prime Factorization of 77697

Prime Factorization of 77717

Now multiplying the highest exponent prime factors to calculate the LCM of 77697 and 77717.

LCM(77697,77717) = 3² × 89¹ × 97¹ × 23¹ × 31¹ × 109¹
LCM(77697,77717) = 6038377749