What is the Least Common Multiple of 204 and 211?
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 211 is 43044.
LCM(204,211) = 43044
Least Common Multiple of 204 and 211 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 211, than apply into the LCM equation.
GCF(204,211) = 1
LCM(204,211) = ( 204 × 211) / 1
LCM(204,211) = 43044 / 1
LCM(204,211) = 43044
Least Common Multiple (LCM) of 204 and 211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 204 and 211. First we will calculate the prime factors of 204 and 211.
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 211
Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:
211 = 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 204 and 211.
LCM(204,211) = 22 × 31 × 171 × 2111
LCM(204,211) = 43044
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
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- LCM of 204 and 221
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- LCM of 204 and 223
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Related Least Common Multiples of 211
- LCM of 211 and 215
- LCM of 211 and 216
- LCM of 211 and 217
- LCM of 211 and 218
- LCM of 211 and 219
- LCM of 211 and 220
- LCM of 211 and 221
- LCM of 211 and 222
- LCM of 211 and 223
- LCM of 211 and 224
- LCM of 211 and 225
- LCM of 211 and 226
- LCM of 211 and 227
- LCM of 211 and 228
- LCM of 211 and 229
- LCM of 211 and 230
- LCM of 211 and 231