What is the Least Common Multiple of 24105 and 24123?

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 24105 and 24123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24105 and 24123, than apply into the LCM equation.

GCF(24105,24123) = 3
LCM(24105,24123) = ( 24105 × 24123) / 3
LCM(24105,24123) = 581484915 / 3
LCM(24105,24123) = 193828305

Least Common Multiple (LCM) of 24105 and 24123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24105 and 24123. First we will calculate the prime factors of 24105 and 24123.

Prime Factorization of 24105

Prime Factorization of 24123

Now multiplying the highest exponent prime factors to calculate the LCM of 24105 and 24123.

LCM(24105,24123) = 3¹ × 5¹ × 1607¹ × 11¹ × 17¹ × 43¹
LCM(24105,24123) = 193828305