What is the Least Common Multiple of 21146 and 21161?

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 21146 and 21161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21146 and 21161, than apply into the LCM equation.

GCF(21146,21161) = 1
LCM(21146,21161) = ( 21146 × 21161) / 1
LCM(21146,21161) = 447470506 / 1
LCM(21146,21161) = 447470506

Least Common Multiple (LCM) of 21146 and 21161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21146 and 21161. First we will calculate the prime factors of 21146 and 21161.

Prime Factorization of 21146

Prime Factorization of 21161

Now multiplying the highest exponent prime factors to calculate the LCM of 21146 and 21161.

LCM(21146,21161) = 2¹ × 97¹ × 109¹ × 7¹ × 3023¹
LCM(21146,21161) = 447470506