What is the Least Common Multiple of 24123 and 24138?

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 24123 and 24138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24123 and 24138, than apply into the LCM equation.

GCF(24123,24138) = 3
LCM(24123,24138) = ( 24123 × 24138) / 3
LCM(24123,24138) = 582280974 / 3
LCM(24123,24138) = 194093658

Least Common Multiple (LCM) of 24123 and 24138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24123 and 24138. First we will calculate the prime factors of 24123 and 24138.

Prime Factorization of 24123

Prime Factorization of 24138

Now multiplying the highest exponent prime factors to calculate the LCM of 24123 and 24138.

LCM(24123,24138) = 3⁴ × 11¹ × 17¹ × 43¹ × 2¹ × 149¹
LCM(24123,24138) = 194093658