What is the Least Common Multiple of 184 and 198?
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 184 and 198 is 18216.
LCM(184,198) = 18216
Least Common Multiple of 184 and 198 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 184 and 198, than apply into the LCM equation.
GCF(184,198) = 2
LCM(184,198) = ( 184 × 198) / 2
LCM(184,198) = 36432 / 2
LCM(184,198) = 18216
Least Common Multiple (LCM) of 184 and 198 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 184 and 198. First we will calculate the prime factors of 184 and 198.
Prime Factorization of 184
Prime factors of 184 are 2, 23. Prime factorization of 184 in exponential form is:
184 = 23 × 231
Prime Factorization of 198
Prime factors of 198 are 2, 3, 11. Prime factorization of 198 in exponential form is:
198 = 21 × 32 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 184 and 198.
LCM(184,198) = 23 × 231 × 32 × 111
LCM(184,198) = 18216
Related Least Common Multiples of 184
- LCM of 184 and 188
- LCM of 184 and 189
- LCM of 184 and 190
- LCM of 184 and 191
- LCM of 184 and 192
- LCM of 184 and 193
- LCM of 184 and 194
- LCM of 184 and 195
- LCM of 184 and 196
- LCM of 184 and 197
- LCM of 184 and 198
- LCM of 184 and 199
- LCM of 184 and 200
- LCM of 184 and 201
- LCM of 184 and 202
- LCM of 184 and 203
- LCM of 184 and 204
Related Least Common Multiples of 198
- LCM of 198 and 202
- LCM of 198 and 203
- LCM of 198 and 204
- LCM of 198 and 205
- LCM of 198 and 206
- LCM of 198 and 207
- LCM of 198 and 208
- LCM of 198 and 209
- LCM of 198 and 210
- LCM of 198 and 211
- LCM of 198 and 212
- LCM of 198 and 213
- LCM of 198 and 214
- LCM of 198 and 215
- LCM of 198 and 216
- LCM of 198 and 217
- LCM of 198 and 218