What is the Least Common Multiple of 36036 and 36040?

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 36036 and 36040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36036 and 36040, than apply into the LCM equation.

GCF(36036,36040) = 4
LCM(36036,36040) = ( 36036 × 36040) / 4
LCM(36036,36040) = 1298737440 / 4
LCM(36036,36040) = 324684360

Least Common Multiple (LCM) of 36036 and 36040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36036 and 36040. First we will calculate the prime factors of 36036 and 36040.

Prime Factorization of 36036

Prime Factorization of 36040

Now multiplying the highest exponent prime factors to calculate the LCM of 36036 and 36040.

LCM(36036,36040) = 2³ × 3² × 7¹ × 11¹ × 13¹ × 5¹ × 17¹ × 53¹
LCM(36036,36040) = 324684360