What is the Least Common Multiple of 36069 and 36084?

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 36069 and 36084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36069 and 36084, than apply into the LCM equation.

GCF(36069,36084) = 3
LCM(36069,36084) = ( 36069 × 36084) / 3
LCM(36069,36084) = 1301513796 / 3
LCM(36069,36084) = 433837932

Least Common Multiple (LCM) of 36069 and 36084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36069 and 36084. First we will calculate the prime factors of 36069 and 36084.

Prime Factorization of 36069

Prime Factorization of 36084

Now multiplying the highest exponent prime factors to calculate the LCM of 36069 and 36084.

LCM(36069,36084) = 3¹ × 11¹ × 1093¹ × 2² × 31¹ × 97¹
LCM(36069,36084) = 433837932