What is the Least Common Multiple of 23970 and 23985?

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 23970 and 23985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23970 and 23985, than apply into the LCM equation.

GCF(23970,23985) = 15
LCM(23970,23985) = ( 23970 × 23985) / 15
LCM(23970,23985) = 574920450 / 15
LCM(23970,23985) = 38328030

Least Common Multiple (LCM) of 23970 and 23985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23970 and 23985. First we will calculate the prime factors of 23970 and 23985.

Prime Factorization of 23970

Prime Factorization of 23985

Now multiplying the highest exponent prime factors to calculate the LCM of 23970 and 23985.

LCM(23970,23985) = 2¹ × 3² × 5¹ × 17¹ × 47¹ × 13¹ × 41¹
LCM(23970,23985) = 38328030