What is the Least Common Multiple of 24123 and 24134?

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 24134 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 24134, than apply into the LCM equation.

GCF(24123,24134) = 11
LCM(24123,24134) = ( 24123 × 24134) / 11
LCM(24123,24134) = 582184482 / 11
LCM(24123,24134) = 52925862

Least Common Multiple (LCM) of 24123 and 24134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24123 and 24134. First we will calculate the prime factors of 24123 and 24134.

Prime Factorization of 24123

Prime Factorization of 24134

Now multiplying the highest exponent prime factors to calculate the LCM of 24123 and 24134.

LCM(24123,24134) = 3¹ × 11¹ × 17¹ × 43¹ × 2¹ × 1097¹
LCM(24123,24134) = 52925862