What is the Least Common Multiple of 199 and 209?
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 209 is 41591.
LCM(199,209) = 41591
Least Common Multiple of 199 and 209 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 209, than apply into the LCM equation.
GCF(199,209) = 1
LCM(199,209) = ( 199 × 209) / 1
LCM(199,209) = 41591 / 1
LCM(199,209) = 41591
Least Common Multiple (LCM) of 199 and 209 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 199 and 209. First we will calculate the prime factors of 199 and 209.
Prime Factorization of 199
Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:
199 = 1991
Prime Factorization of 209
Prime factors of 209 are 11, 19. Prime factorization of 209 in exponential form is:
209 = 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 199 and 209.
LCM(199,209) = 1991 × 111 × 191
LCM(199,209) = 41591
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 209
- LCM of 209 and 213
- LCM of 209 and 214
- LCM of 209 and 215
- LCM of 209 and 216
- LCM of 209 and 217
- LCM of 209 and 218
- LCM of 209 and 219
- LCM of 209 and 220
- LCM of 209 and 221
- LCM of 209 and 222
- LCM of 209 and 223
- LCM of 209 and 224
- LCM of 209 and 225
- LCM of 209 and 226
- LCM of 209 and 227
- LCM of 209 and 228
- LCM of 209 and 229