What is the Least Common Multiple of 21205 and 21222?

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 21205 and 21222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21205 and 21222, than apply into the LCM equation.

GCF(21205,21222) = 1
LCM(21205,21222) = ( 21205 × 21222) / 1
LCM(21205,21222) = 450012510 / 1
LCM(21205,21222) = 450012510

Least Common Multiple (LCM) of 21205 and 21222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21205 and 21222. First we will calculate the prime factors of 21205 and 21222.

Prime Factorization of 21205

Prime Factorization of 21222

Now multiplying the highest exponent prime factors to calculate the LCM of 21205 and 21222.

LCM(21205,21222) = 5¹ × 4241¹ × 2¹ × 3⁴ × 131¹
LCM(21205,21222) = 450012510