What is the Least Common Multiple of 12015 and 12035?

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 12015 and 12035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12015 and 12035, than apply into the LCM equation.

GCF(12015,12035) = 5
LCM(12015,12035) = ( 12015 × 12035) / 5
LCM(12015,12035) = 144600525 / 5
LCM(12015,12035) = 28920105

Least Common Multiple (LCM) of 12015 and 12035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12015 and 12035. First we will calculate the prime factors of 12015 and 12035.

Prime Factorization of 12015

Prime Factorization of 12035

Now multiplying the highest exponent prime factors to calculate the LCM of 12015 and 12035.

LCM(12015,12035) = 3³ × 5¹ × 89¹ × 29¹ × 83¹
LCM(12015,12035) = 28920105