What is the Least Common Multiple of 23697 and 23701?

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 23697 and 23701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23697 and 23701, than apply into the LCM equation.

GCF(23697,23701) = 1
LCM(23697,23701) = ( 23697 × 23701) / 1
LCM(23697,23701) = 561642597 / 1
LCM(23697,23701) = 561642597

Least Common Multiple (LCM) of 23697 and 23701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23697 and 23701. First we will calculate the prime factors of 23697 and 23701.

Prime Factorization of 23697

Prime Factorization of 23701

Now multiplying the highest exponent prime factors to calculate the LCM of 23697 and 23701.

LCM(23697,23701) = 3² × 2633¹ × 137¹ × 173¹
LCM(23697,23701) = 561642597