What is the Least Common Multiple of 203 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 203 and 212 is 43036.
LCM(203,212) = 43036
Least Common Multiple of 203 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 203 and 212, than apply into the LCM equation.
GCF(203,212) = 1
LCM(203,212) = ( 203 × 212) / 1
LCM(203,212) = 43036 / 1
LCM(203,212) = 43036
Least Common Multiple (LCM) of 203 and 212 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 203 and 212. First we will calculate the prime factors of 203 and 212.
Prime Factorization of 203
Prime factors of 203 are 7, 29. Prime factorization of 203 in exponential form is:
203 = 71 × 291
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 203 and 212.
LCM(203,212) = 71 × 291 × 22 × 531
LCM(203,212) = 43036
Related Least Common Multiples of 203
- LCM of 203 and 207
- LCM of 203 and 208
- LCM of 203 and 209
- LCM of 203 and 210
- LCM of 203 and 211
- LCM of 203 and 212
- LCM of 203 and 213
- LCM of 203 and 214
- LCM of 203 and 215
- LCM of 203 and 216
- LCM of 203 and 217
- LCM of 203 and 218
- LCM of 203 and 219
- LCM of 203 and 220
- LCM of 203 and 221
- LCM of 203 and 222
- LCM of 203 and 223
Related Least Common Multiples of 212
- LCM of 212 and 216
- LCM of 212 and 217
- LCM of 212 and 218
- LCM of 212 and 219
- LCM of 212 and 220
- LCM of 212 and 221
- LCM of 212 and 222
- LCM of 212 and 223
- LCM of 212 and 224
- LCM of 212 and 225
- LCM of 212 and 226
- LCM of 212 and 227
- LCM of 212 and 228
- LCM of 212 and 229
- LCM of 212 and 230
- LCM of 212 and 231
- LCM of 212 and 232