What is the Least Common Multiple of 204 and 213?
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 213 is 14484.
LCM(204,213) = 14484
Least Common Multiple of 204 and 213 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 213, than apply into the LCM equation.
GCF(204,213) = 3
LCM(204,213) = ( 204 × 213) / 3
LCM(204,213) = 43452 / 3
LCM(204,213) = 14484
Least Common Multiple (LCM) of 204 and 213 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 204 and 213. First we will calculate the prime factors of 204 and 213.
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 213
Prime factors of 213 are 3, 71. Prime factorization of 213 in exponential form is:
213 = 31 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 204 and 213.
LCM(204,213) = 22 × 31 × 171 × 711
LCM(204,213) = 14484
Related Least Common Multiples of 204
- LCM of 204 and 208
- LCM of 204 and 209
- LCM of 204 and 210
- LCM of 204 and 211
- LCM of 204 and 212
- LCM of 204 and 213
- LCM of 204 and 214
- LCM of 204 and 215
- LCM of 204 and 216
- LCM of 204 and 217
- LCM of 204 and 218
- LCM of 204 and 219
- LCM of 204 and 220
- LCM of 204 and 221
- LCM of 204 and 222
- LCM of 204 and 223
- LCM of 204 and 224
Related Least Common Multiples of 213
- LCM of 213 and 217
- LCM of 213 and 218
- LCM of 213 and 219
- LCM of 213 and 220
- LCM of 213 and 221
- LCM of 213 and 222
- LCM of 213 and 223
- LCM of 213 and 224
- LCM of 213 and 225
- LCM of 213 and 226
- LCM of 213 and 227
- LCM of 213 and 228
- LCM of 213 and 229
- LCM of 213 and 230
- LCM of 213 and 231
- LCM of 213 and 232
- LCM of 213 and 233