What is the Least Common Multiple of 23684 and 23697?

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 23684 and 23697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23684 and 23697, than apply into the LCM equation.

GCF(23684,23697) = 1
LCM(23684,23697) = ( 23684 × 23697) / 1
LCM(23684,23697) = 561239748 / 1
LCM(23684,23697) = 561239748

Least Common Multiple (LCM) of 23684 and 23697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23684 and 23697. First we will calculate the prime factors of 23684 and 23697.

Prime Factorization of 23684

Prime Factorization of 23697

Now multiplying the highest exponent prime factors to calculate the LCM of 23684 and 23697.

LCM(23684,23697) = 2² × 31¹ × 191¹ × 3² × 2633¹
LCM(23684,23697) = 561239748