What is the Least Common Multiple of 36432 and 36441?

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 36432 and 36441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36432 and 36441, than apply into the LCM equation.

GCF(36432,36441) = 9
LCM(36432,36441) = ( 36432 × 36441) / 9
LCM(36432,36441) = 1327618512 / 9
LCM(36432,36441) = 147513168

Least Common Multiple (LCM) of 36432 and 36441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36432 and 36441. First we will calculate the prime factors of 36432 and 36441.

Prime Factorization of 36432

Prime Factorization of 36441

Now multiplying the highest exponent prime factors to calculate the LCM of 36432 and 36441.

LCM(36432,36441) = 2⁴ × 3² × 11¹ × 23¹ × 4049¹
LCM(36432,36441) = 147513168