What is the Least Common Multiple of 23699 and 23711?

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 23699 and 23711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23699 and 23711, than apply into the LCM equation.

GCF(23699,23711) = 1
LCM(23699,23711) = ( 23699 × 23711) / 1
LCM(23699,23711) = 561926989 / 1
LCM(23699,23711) = 561926989

Least Common Multiple (LCM) of 23699 and 23711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23699 and 23711. First we will calculate the prime factors of 23699 and 23711.

Prime Factorization of 23699

Prime Factorization of 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 23699 and 23711.

LCM(23699,23711) = 13¹ × 1823¹ × 131¹ × 181¹
LCM(23699,23711) = 561926989