What is the Least Common Multiple of 24036 and 24048?

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 24048 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 24048, than apply into the LCM equation.

GCF(24036,24048) = 12
LCM(24036,24048) = ( 24036 × 24048) / 12
LCM(24036,24048) = 578017728 / 12
LCM(24036,24048) = 48168144

Least Common Multiple (LCM) of 24036 and 24048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24036 and 24048. First we will calculate the prime factors of 24036 and 24048.

Prime Factorization of 24036

Prime Factorization of 24048

Now multiplying the highest exponent prime factors to calculate the LCM of 24036 and 24048.

LCM(24036,24048) = 2⁴ × 3² × 2003¹ × 167¹
LCM(24036,24048) = 48168144