What is the Least Common Multiple of 23383 and 23399?

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 23383 and 23399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23383 and 23399, than apply into the LCM equation.

GCF(23383,23399) = 1
LCM(23383,23399) = ( 23383 × 23399) / 1
LCM(23383,23399) = 547138817 / 1
LCM(23383,23399) = 547138817

Least Common Multiple (LCM) of 23383 and 23399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23383 and 23399. First we will calculate the prime factors of 23383 and 23399.

Prime Factorization of 23383

Prime Factorization of 23399

Now multiplying the highest exponent prime factors to calculate the LCM of 23383 and 23399.

LCM(23383,23399) = 67¹ × 349¹ × 23399¹
LCM(23383,23399) = 547138817