What is the Least Common Multiple of 197 and 204?
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 197 and 204 is 40188.
LCM(197,204) = 40188
Least Common Multiple of 197 and 204 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 197 and 204, than apply into the LCM equation.
GCF(197,204) = 1
LCM(197,204) = ( 197 × 204) / 1
LCM(197,204) = 40188 / 1
LCM(197,204) = 40188
Least Common Multiple (LCM) of 197 and 204 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 197 and 204. First we will calculate the prime factors of 197 and 204.
Prime Factorization of 197
Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:
197 = 1971
Prime Factorization of 204
Prime factors of 204 are 2, 3, 17. Prime factorization of 204 in exponential form is:
204 = 22 × 31 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 197 and 204.
LCM(197,204) = 1971 × 22 × 31 × 171
LCM(197,204) = 40188
Related Least Common Multiples of 197
- LCM of 197 and 201
- LCM of 197 and 202
- LCM of 197 and 203
- LCM of 197 and 204
- LCM of 197 and 205
- LCM of 197 and 206
- LCM of 197 and 207
- LCM of 197 and 208
- LCM of 197 and 209
- LCM of 197 and 210
- LCM of 197 and 211
- LCM of 197 and 212
- LCM of 197 and 213
- LCM of 197 and 214
- LCM of 197 and 215
- LCM of 197 and 216
- LCM of 197 and 217
Related Least Common Multiples of 204
- LCM of 204 and 208
- LCM of 204 and 209
- LCM of 204 and 210
- LCM of 204 and 211
- LCM of 204 and 212
- LCM of 204 and 213
- LCM of 204 and 214
- LCM of 204 and 215
- LCM of 204 and 216
- LCM of 204 and 217
- LCM of 204 and 218
- LCM of 204 and 219
- LCM of 204 and 220
- LCM of 204 and 221
- LCM of 204 and 222
- LCM of 204 and 223
- LCM of 204 and 224