What is the Least Common Multiple of 23970 and 23986?

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 23986 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 23986, than apply into the LCM equation.

GCF(23970,23986) = 2
LCM(23970,23986) = ( 23970 × 23986) / 2
LCM(23970,23986) = 574944420 / 2
LCM(23970,23986) = 287472210

Least Common Multiple (LCM) of 23970 and 23986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23970 and 23986. First we will calculate the prime factors of 23970 and 23986.

Prime Factorization of 23970

Prime Factorization of 23986

Now multiplying the highest exponent prime factors to calculate the LCM of 23970 and 23986.

LCM(23970,23986) = 2¹ × 3¹ × 5¹ × 17¹ × 47¹ × 67¹ × 179¹
LCM(23970,23986) = 287472210