What is the Least Common Multiple of 24123 and 24127?

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 24127 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 24127, than apply into the LCM equation.

GCF(24123,24127) = 1
LCM(24123,24127) = ( 24123 × 24127) / 1
LCM(24123,24127) = 582015621 / 1
LCM(24123,24127) = 582015621

Least Common Multiple (LCM) of 24123 and 24127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24123 and 24127. First we will calculate the prime factors of 24123 and 24127.

Prime Factorization of 24123

Prime Factorization of 24127

Now multiplying the highest exponent prime factors to calculate the LCM of 24123 and 24127.

LCM(24123,24127) = 3¹ × 11¹ × 17¹ × 43¹ × 23¹ × 1049¹
LCM(24123,24127) = 582015621