What is the Least Common Multiple of 24333 and 24346?

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 24333 and 24346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24333 and 24346, than apply into the LCM equation.

GCF(24333,24346) = 1
LCM(24333,24346) = ( 24333 × 24346) / 1
LCM(24333,24346) = 592411218 / 1
LCM(24333,24346) = 592411218

Least Common Multiple (LCM) of 24333 and 24346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24333 and 24346. First we will calculate the prime factors of 24333 and 24346.

Prime Factorization of 24333

Prime Factorization of 24346

Now multiplying the highest exponent prime factors to calculate the LCM of 24333 and 24346.

LCM(24333,24346) = 3¹ × 8111¹ × 2¹ × 7¹ × 37¹ × 47¹
LCM(24333,24346) = 592411218