What is the Least Common Multiple of 208 and 227?
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 208 and 227 is 47216.
LCM(208,227) = 47216
Least Common Multiple of 208 and 227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 208 and 227, than apply into the LCM equation.
GCF(208,227) = 1
LCM(208,227) = ( 208 × 227) / 1
LCM(208,227) = 47216 / 1
LCM(208,227) = 47216
Least Common Multiple (LCM) of 208 and 227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 208 and 227. First we will calculate the prime factors of 208 and 227.
Prime Factorization of 208
Prime factors of 208 are 2, 13. Prime factorization of 208 in exponential form is:
208 = 24 × 131
Prime Factorization of 227
Prime factors of 227 are 227. Prime factorization of 227 in exponential form is:
227 = 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 208 and 227.
LCM(208,227) = 24 × 131 × 2271
LCM(208,227) = 47216
Related Least Common Multiples of 208
- LCM of 208 and 212
- LCM of 208 and 213
- LCM of 208 and 214
- LCM of 208 and 215
- LCM of 208 and 216
- LCM of 208 and 217
- LCM of 208 and 218
- LCM of 208 and 219
- LCM of 208 and 220
- LCM of 208 and 221
- LCM of 208 and 222
- LCM of 208 and 223
- LCM of 208 and 224
- LCM of 208 and 225
- LCM of 208 and 226
- LCM of 208 and 227
- LCM of 208 and 228
Related Least Common Multiples of 227
- LCM of 227 and 231
- LCM of 227 and 232
- LCM of 227 and 233
- LCM of 227 and 234
- LCM of 227 and 235
- LCM of 227 and 236
- LCM of 227 and 237
- LCM of 227 and 238
- LCM of 227 and 239
- LCM of 227 and 240
- LCM of 227 and 241
- LCM of 227 and 242
- LCM of 227 and 243
- LCM of 227 and 244
- LCM of 227 and 245
- LCM of 227 and 246
- LCM of 227 and 247