What is the Least Common Multiple of 36099 and 36114?

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 36099 and 36114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36099 and 36114, than apply into the LCM equation.

GCF(36099,36114) = 3
LCM(36099,36114) = ( 36099 × 36114) / 3
LCM(36099,36114) = 1303679286 / 3
LCM(36099,36114) = 434559762

Least Common Multiple (LCM) of 36099 and 36114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36099 and 36114. First we will calculate the prime factors of 36099 and 36114.

Prime Factorization of 36099

Prime Factorization of 36114

Now multiplying the highest exponent prime factors to calculate the LCM of 36099 and 36114.

LCM(36099,36114) = 3³ × 7¹ × 191¹ × 2¹ × 13¹ × 463¹
LCM(36099,36114) = 434559762