What is the Least Common Multiple of 199 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 199 and 208 is 41392.
LCM(199,208) = 41392
Least Common Multiple of 199 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 199 and 208, than apply into the LCM equation.
GCF(199,208) = 1
LCM(199,208) = ( 199 × 208) / 1
LCM(199,208) = 41392 / 1
LCM(199,208) = 41392
Least Common Multiple (LCM) of 199 and 208 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 199 and 208. First we will calculate the prime factors of 199 and 208.
Prime Factorization of 199
Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:
199 = 1991
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 199 and 208.
LCM(199,208) = 1991 × 24 × 131
LCM(199,208) = 41392
Related Least Common Multiples of 199
- LCM of 199 and 203
- LCM of 199 and 204
- LCM of 199 and 205
- LCM of 199 and 206
- LCM of 199 and 207
- LCM of 199 and 208
- LCM of 199 and 209
- LCM of 199 and 210
- LCM of 199 and 211
- LCM of 199 and 212
- LCM of 199 and 213
- LCM of 199 and 214
- LCM of 199 and 215
- LCM of 199 and 216
- LCM of 199 and 217
- LCM of 199 and 218
- LCM of 199 and 219
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