What is the Least Common Multiple of 39024 and 39036?

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 39024 and 39036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39024 and 39036, than apply into the LCM equation.

GCF(39024,39036) = 12
LCM(39024,39036) = ( 39024 × 39036) / 12
LCM(39024,39036) = 1523340864 / 12
LCM(39024,39036) = 126945072

Least Common Multiple (LCM) of 39024 and 39036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39024 and 39036. First we will calculate the prime factors of 39024 and 39036.

Prime Factorization of 39024

Prime Factorization of 39036

Now multiplying the highest exponent prime factors to calculate the LCM of 39024 and 39036.

LCM(39024,39036) = 2⁴ × 3² × 271¹ × 3253¹
LCM(39024,39036) = 126945072