What is the Least Common Multiple of 36084 and 36099?

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 36084 and 36099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36084 and 36099, than apply into the LCM equation.

GCF(36084,36099) = 3
LCM(36084,36099) = ( 36084 × 36099) / 3
LCM(36084,36099) = 1302596316 / 3
LCM(36084,36099) = 434198772

Least Common Multiple (LCM) of 36084 and 36099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36084 and 36099. First we will calculate the prime factors of 36084 and 36099.

Prime Factorization of 36084

Prime Factorization of 36099

Now multiplying the highest exponent prime factors to calculate the LCM of 36084 and 36099.

LCM(36084,36099) = 2² × 3³ × 31¹ × 97¹ × 7¹ × 191¹
LCM(36084,36099) = 434198772