What is the Least Common Multiple of 23710 and 23729?

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 23710 and 23729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23710 and 23729, than apply into the LCM equation.

GCF(23710,23729) = 1
LCM(23710,23729) = ( 23710 × 23729) / 1
LCM(23710,23729) = 562614590 / 1
LCM(23710,23729) = 562614590

Least Common Multiple (LCM) of 23710 and 23729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23710 and 23729. First we will calculate the prime factors of 23710 and 23729.

Prime Factorization of 23710

Prime Factorization of 23729

Now multiplying the highest exponent prime factors to calculate the LCM of 23710 and 23729.

LCM(23710,23729) = 2¹ × 5¹ × 2371¹ × 61¹ × 389¹
LCM(23710,23729) = 562614590