What is the Least Common Multiple of 211 and 222?
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 211 and 222 is 46842.
LCM(211,222) = 46842
Least Common Multiple of 211 and 222 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 211 and 222, than apply into the LCM equation.
GCF(211,222) = 1
LCM(211,222) = ( 211 × 222) / 1
LCM(211,222) = 46842 / 1
LCM(211,222) = 46842
Least Common Multiple (LCM) of 211 and 222 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 211 and 222. First we will calculate the prime factors of 211 and 222.
Prime Factorization of 211
Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:
211 = 2111
Prime Factorization of 222
Prime factors of 222 are 2, 3, 37. Prime factorization of 222 in exponential form is:
222 = 21 × 31 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 211 and 222.
LCM(211,222) = 2111 × 21 × 31 × 371
LCM(211,222) = 46842
Related Least Common Multiples of 211
- LCM of 211 and 215
- LCM of 211 and 216
- LCM of 211 and 217
- LCM of 211 and 218
- LCM of 211 and 219
- LCM of 211 and 220
- LCM of 211 and 221
- LCM of 211 and 222
- LCM of 211 and 223
- LCM of 211 and 224
- LCM of 211 and 225
- LCM of 211 and 226
- LCM of 211 and 227
- LCM of 211 and 228
- LCM of 211 and 229
- LCM of 211 and 230
- LCM of 211 and 231
Related Least Common Multiples of 222
- LCM of 222 and 226
- LCM of 222 and 227
- LCM of 222 and 228
- LCM of 222 and 229
- LCM of 222 and 230
- LCM of 222 and 231
- LCM of 222 and 232
- LCM of 222 and 233
- LCM of 222 and 234
- LCM of 222 and 235
- LCM of 222 and 236
- LCM of 222 and 237
- LCM of 222 and 238
- LCM of 222 and 239
- LCM of 222 and 240
- LCM of 222 and 241
- LCM of 222 and 242