What is the Least Common Multiple of 21165 and 21180?

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 21165 and 21180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21165 and 21180, than apply into the LCM equation.

GCF(21165,21180) = 15
LCM(21165,21180) = ( 21165 × 21180) / 15
LCM(21165,21180) = 448274700 / 15
LCM(21165,21180) = 29884980

Least Common Multiple (LCM) of 21165 and 21180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21165 and 21180. First we will calculate the prime factors of 21165 and 21180.

Prime Factorization of 21165

Prime Factorization of 21180

Now multiplying the highest exponent prime factors to calculate the LCM of 21165 and 21180.

LCM(21165,21180) = 3¹ × 5¹ × 17¹ × 83¹ × 2² × 353¹
LCM(21165,21180) = 29884980