What is the Least Common Multiple of 195 and 203?
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 195 and 203 is 39585.
LCM(195,203) = 39585
Least Common Multiple of 195 and 203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 195 and 203, than apply into the LCM equation.
GCF(195,203) = 1
LCM(195,203) = ( 195 × 203) / 1
LCM(195,203) = 39585 / 1
LCM(195,203) = 39585
Least Common Multiple (LCM) of 195 and 203 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 195 and 203. First we will calculate the prime factors of 195 and 203.
Prime Factorization of 195
Prime factors of 195 are 3, 5, 13. Prime factorization of 195 in exponential form is:
195 = 31 × 51 × 131
Prime Factorization of 203
Prime factors of 203 are 7, 29. Prime factorization of 203 in exponential form is:
203 = 71 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 195 and 203.
LCM(195,203) = 31 × 51 × 131 × 71 × 291
LCM(195,203) = 39585
Related Least Common Multiples of 195
- LCM of 195 and 199
- LCM of 195 and 200
- LCM of 195 and 201
- LCM of 195 and 202
- LCM of 195 and 203
- LCM of 195 and 204
- LCM of 195 and 205
- LCM of 195 and 206
- LCM of 195 and 207
- LCM of 195 and 208
- LCM of 195 and 209
- LCM of 195 and 210
- LCM of 195 and 211
- LCM of 195 and 212
- LCM of 195 and 213
- LCM of 195 and 214
- LCM of 195 and 215
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