What is the Least Common Multiple of 21150 and 21166?

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 21150 and 21166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21150 and 21166, than apply into the LCM equation.

GCF(21150,21166) = 2
LCM(21150,21166) = ( 21150 × 21166) / 2
LCM(21150,21166) = 447660900 / 2
LCM(21150,21166) = 223830450

Least Common Multiple (LCM) of 21150 and 21166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21150 and 21166. First we will calculate the prime factors of 21150 and 21166.

Prime Factorization of 21150

Prime Factorization of 21166

Now multiplying the highest exponent prime factors to calculate the LCM of 21150 and 21166.

LCM(21150,21166) = 2¹ × 3² × 5² × 47¹ × 19¹ × 557¹
LCM(21150,21166) = 223830450