What is the Least Common Multiple of 24431 and 24438?

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 24431 and 24438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24431 and 24438, than apply into the LCM equation.

GCF(24431,24438) = 1
LCM(24431,24438) = ( 24431 × 24438) / 1
LCM(24431,24438) = 597044778 / 1
LCM(24431,24438) = 597044778

Least Common Multiple (LCM) of 24431 and 24438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24431 and 24438. First we will calculate the prime factors of 24431 and 24438.

Prime Factorization of 24431

Prime Factorization of 24438

Now multiplying the highest exponent prime factors to calculate the LCM of 24431 and 24438.

LCM(24431,24438) = 11¹ × 2221¹ × 2¹ × 3¹ × 4073¹
LCM(24431,24438) = 597044778