What is the Least Common Multiple of 204 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 204 and 208 is 10608.
LCM(204,208) = 10608
Least Common Multiple of 204 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 204 and 208, than apply into the LCM equation.
GCF(204,208) = 4
LCM(204,208) = ( 204 × 208) / 4
LCM(204,208) = 42432 / 4
LCM(204,208) = 10608
Least Common Multiple (LCM) of 204 and 208 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 204 and 208. First we will calculate the prime factors of 204 and 208.
Prime Factorization of 204
Prime factors of 204 are 2, 3, 17. Prime factorization of 204 in exponential form is:
204 = 22 × 31 × 171
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 204 and 208.
LCM(204,208) = 24 × 31 × 171 × 131
LCM(204,208) = 10608
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
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