What is the Least Common Multiple of 23714 and 23723?

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 23714 and 23723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23714 and 23723, than apply into the LCM equation.

GCF(23714,23723) = 1
LCM(23714,23723) = ( 23714 × 23723) / 1
LCM(23714,23723) = 562567222 / 1
LCM(23714,23723) = 562567222

Least Common Multiple (LCM) of 23714 and 23723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23714 and 23723. First we will calculate the prime factors of 23714 and 23723.

Prime Factorization of 23714

Prime Factorization of 23723

Now multiplying the highest exponent prime factors to calculate the LCM of 23714 and 23723.

LCM(23714,23723) = 2¹ × 71¹ × 167¹ × 7¹ × 3389¹
LCM(23714,23723) = 562567222