What is the Least Common Multiple of 36429 and 36444?

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 36429 and 36444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36429 and 36444, than apply into the LCM equation.

GCF(36429,36444) = 3
LCM(36429,36444) = ( 36429 × 36444) / 3
LCM(36429,36444) = 1327618476 / 3
LCM(36429,36444) = 442539492

Least Common Multiple (LCM) of 36429 and 36444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36429 and 36444. First we will calculate the prime factors of 36429 and 36444.

Prime Factorization of 36429

Prime Factorization of 36444

Now multiplying the highest exponent prime factors to calculate the LCM of 36429 and 36444.

LCM(36429,36444) = 3¹ × 12143¹ × 2² × 3037¹
LCM(36429,36444) = 442539492