What is the Least Common Multiple of 12697 and 12717?

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 12697 and 12717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12697 and 12717, than apply into the LCM equation.

GCF(12697,12717) = 1
LCM(12697,12717) = ( 12697 × 12717) / 1
LCM(12697,12717) = 161467749 / 1
LCM(12697,12717) = 161467749

Least Common Multiple (LCM) of 12697 and 12717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12697 and 12717. First we will calculate the prime factors of 12697 and 12717.

Prime Factorization of 12697

Prime Factorization of 12717

Now multiplying the highest exponent prime factors to calculate the LCM of 12697 and 12717.

LCM(12697,12717) = 12697¹ × 3⁴ × 157¹
LCM(12697,12717) = 161467749