What is the Least Common Multiple of 36229 and 36243?

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 36229 and 36243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36229 and 36243, than apply into the LCM equation.

GCF(36229,36243) = 1
LCM(36229,36243) = ( 36229 × 36243) / 1
LCM(36229,36243) = 1313047647 / 1
LCM(36229,36243) = 1313047647

Least Common Multiple (LCM) of 36229 and 36243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36229 and 36243. First we will calculate the prime factors of 36229 and 36243.

Prime Factorization of 36229

Prime Factorization of 36243

Now multiplying the highest exponent prime factors to calculate the LCM of 36229 and 36243.

LCM(36229,36243) = 36229¹ × 3² × 4027¹
LCM(36229,36243) = 1313047647