What is the Least Common Multiple of 21171 and 21186?

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 21171 and 21186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21171 and 21186, than apply into the LCM equation.

GCF(21171,21186) = 3
LCM(21171,21186) = ( 21171 × 21186) / 3
LCM(21171,21186) = 448528806 / 3
LCM(21171,21186) = 149509602

Least Common Multiple (LCM) of 21171 and 21186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21171 and 21186. First we will calculate the prime factors of 21171 and 21186.

Prime Factorization of 21171

Prime Factorization of 21186

Now multiplying the highest exponent prime factors to calculate the LCM of 21171 and 21186.

LCM(21171,21186) = 3² × 7057¹ × 2¹ × 11¹ × 107¹
LCM(21171,21186) = 149509602