What is the Least Common Multiple of 24123 and 24130?

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 24130 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 24130, than apply into the LCM equation.

GCF(24123,24130) = 1
LCM(24123,24130) = ( 24123 × 24130) / 1
LCM(24123,24130) = 582087990 / 1
LCM(24123,24130) = 582087990

Least Common Multiple (LCM) of 24123 and 24130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24123 and 24130. First we will calculate the prime factors of 24123 and 24130.

Prime Factorization of 24123

Prime Factorization of 24130

Now multiplying the highest exponent prime factors to calculate the LCM of 24123 and 24130.

LCM(24123,24130) = 3¹ × 11¹ × 17¹ × 43¹ × 2¹ × 5¹ × 19¹ × 127¹
LCM(24123,24130) = 582087990