What is the Least Common Multiple of 24036 and 24042?

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 24036 and 24042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24036 and 24042, than apply into the LCM equation.

GCF(24036,24042) = 6
LCM(24036,24042) = ( 24036 × 24042) / 6
LCM(24036,24042) = 577873512 / 6
LCM(24036,24042) = 96312252

Least Common Multiple (LCM) of 24036 and 24042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24036 and 24042. First we will calculate the prime factors of 24036 and 24042.

Prime Factorization of 24036

Prime Factorization of 24042

Now multiplying the highest exponent prime factors to calculate the LCM of 24036 and 24042.

LCM(24036,24042) = 2² × 3¹ × 2003¹ × 4007¹
LCM(24036,24042) = 96312252