What is the Least Common Multiple of 23983 and 24003?

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 23983 and 24003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23983 and 24003, than apply into the LCM equation.

GCF(23983,24003) = 1
LCM(23983,24003) = ( 23983 × 24003) / 1
LCM(23983,24003) = 575663949 / 1
LCM(23983,24003) = 575663949

Least Common Multiple (LCM) of 23983 and 24003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23983 and 24003. First we will calculate the prime factors of 23983 and 24003.

Prime Factorization of 23983

Prime Factorization of 24003

Now multiplying the highest exponent prime factors to calculate the LCM of 23983 and 24003.

LCM(23983,24003) = 29¹ × 827¹ × 3³ × 7¹ × 127¹
LCM(23983,24003) = 575663949