GCF and LCM Calculator Logo

Least Common Multiple of 204 and 212

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 (LCM) of 204 and 212 is 10812.

LCM(204,212) = 10812

LCM Calculator and

Least Common Multiple of 204 and 212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 204 and 212, than apply into the LCM equation.

GCF(204,212) = 4
LCM(204,212) = ( 204 × 212) / 4
LCM(204,212) = 43248 / 4
LCM(204,212) = 10812

Least Common Multiple (LCM) of 204 and 212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 204 and 212. First we will calculate the prime factors of 204 and 212.

Prime Factorization of 204

Prime factors of 204 are 2, 3, 17. Prime factorization of 204 in exponential form is:

204 = 22 × 31 × 171

Prime Factorization of 212

Prime factors of 212 are 2, 53. Prime factorization of 212 in exponential form is:

212 = 22 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 204 and 212.

LCM(204,212) = 22 × 31 × 171 × 531
LCM(204,212) = 10812

Please share your comments