What is the Least Common Multiple of 203 and 208?
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 208 is 42224.
LCM(203,208) = 42224
Least Common Multiple of 203 and 208 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 208, than apply into the LCM equation.
GCF(203,208) = 1
LCM(203,208) = ( 203 × 208) / 1
LCM(203,208) = 42224 / 1
LCM(203,208) = 42224
Least Common Multiple (LCM) of 203 and 208 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 203 and 208. First we will calculate the prime factors of 203 and 208.
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 208
Prime factors of 208 are 2, 13. Prime factorization of 208 in exponential form is:
208 = 24 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 203 and 208.
LCM(203,208) = 71 × 291 × 24 × 131
LCM(203,208) = 42224
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 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