What is the Least Common Multiple of 23713 and 23731?

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 23713 and 23731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23713 and 23731, than apply into the LCM equation.

GCF(23713,23731) = 1
LCM(23713,23731) = ( 23713 × 23731) / 1
LCM(23713,23731) = 562733203 / 1
LCM(23713,23731) = 562733203

Least Common Multiple (LCM) of 23713 and 23731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23713 and 23731. First we will calculate the prime factors of 23713 and 23731.

Prime Factorization of 23713

Prime Factorization of 23731

Now multiplying the highest exponent prime factors to calculate the LCM of 23713 and 23731.

LCM(23713,23731) = 23¹ × 1031¹ × 19¹ × 1249¹
LCM(23713,23731) = 562733203