What is the Least Common Multiple of 23985 and 23994?

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 23985 and 23994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23985 and 23994, than apply into the LCM equation.

GCF(23985,23994) = 9
LCM(23985,23994) = ( 23985 × 23994) / 9
LCM(23985,23994) = 575496090 / 9
LCM(23985,23994) = 63944010

Least Common Multiple (LCM) of 23985 and 23994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23985 and 23994. First we will calculate the prime factors of 23985 and 23994.

Prime Factorization of 23985

Prime Factorization of 23994

Now multiplying the highest exponent prime factors to calculate the LCM of 23985 and 23994.

LCM(23985,23994) = 3² × 5¹ × 13¹ × 41¹ × 2¹ × 31¹ × 43¹
LCM(23985,23994) = 63944010