What is the Least Common Multiple of 204 and 215?
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 215 is 43860.
LCM(204,215) = 43860
Least Common Multiple of 204 and 215 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 215, than apply into the LCM equation.
GCF(204,215) = 1
LCM(204,215) = ( 204 × 215) / 1
LCM(204,215) = 43860 / 1
LCM(204,215) = 43860
Least Common Multiple (LCM) of 204 and 215 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 204 and 215. First we will calculate the prime factors of 204 and 215.
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 215
Prime factors of 215 are 5, 43. Prime factorization of 215 in exponential form is:
215 = 51 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 204 and 215.
LCM(204,215) = 22 × 31 × 171 × 51 × 431
LCM(204,215) = 43860
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 215
- LCM of 215 and 219
- LCM of 215 and 220
- LCM of 215 and 221
- LCM of 215 and 222
- LCM of 215 and 223
- LCM of 215 and 224
- LCM of 215 and 225
- LCM of 215 and 226
- LCM of 215 and 227
- LCM of 215 and 228
- LCM of 215 and 229
- LCM of 215 and 230
- LCM of 215 and 231
- LCM of 215 and 232
- LCM of 215 and 233
- LCM of 215 and 234
- LCM of 215 and 235