What is the Least Common Multiple of 21170 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 21170 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 21170 and 21186, than apply into the LCM equation.

GCF(21170,21186) = 2
LCM(21170,21186) = ( 21170 × 21186) / 2
LCM(21170,21186) = 448507620 / 2
LCM(21170,21186) = 224253810

Least Common Multiple (LCM) of 21170 and 21186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21170 and 21186. First we will calculate the prime factors of 21170 and 21186.

Prime Factorization of 21170

Prime Factorization of 21186

Now multiplying the highest exponent prime factors to calculate the LCM of 21170 and 21186.

LCM(21170,21186) = 2¹ × 5¹ × 29¹ × 73¹ × 3² × 11¹ × 107¹
LCM(21170,21186) = 224253810