What is the Least Common Multiple of 21165 and 21169?

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 21169 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 21169, than apply into the LCM equation.

GCF(21165,21169) = 1
LCM(21165,21169) = ( 21165 × 21169) / 1
LCM(21165,21169) = 448041885 / 1
LCM(21165,21169) = 448041885

Least Common Multiple (LCM) of 21165 and 21169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21165 and 21169. First we will calculate the prime factors of 21165 and 21169.

Prime Factorization of 21165

Prime Factorization of 21169

Now multiplying the highest exponent prime factors to calculate the LCM of 21165 and 21169.

LCM(21165,21169) = 3¹ × 5¹ × 17¹ × 83¹ × 21169¹
LCM(21165,21169) = 448041885