What is the Least Common Multiple of 228 and 234?
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 228 and 234 is 8892.
LCM(228,234) = 8892
Least Common Multiple of 228 and 234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 228 and 234, than apply into the LCM equation.
GCF(228,234) = 6
LCM(228,234) = ( 228 × 234) / 6
LCM(228,234) = 53352 / 6
LCM(228,234) = 8892
Least Common Multiple (LCM) of 228 and 234 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 228 and 234. First we will calculate the prime factors of 228 and 234.
Prime Factorization of 228
Prime factors of 228 are 2, 3, 19. Prime factorization of 228 in exponential form is:
228 = 22 × 31 × 191
Prime Factorization of 234
Prime factors of 234 are 2, 3, 13. Prime factorization of 234 in exponential form is:
234 = 21 × 32 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 228 and 234.
LCM(228,234) = 22 × 32 × 191 × 131
LCM(228,234) = 8892
Related Least Common Multiples of 228
- LCM of 228 and 232
- LCM of 228 and 233
- LCM of 228 and 234
- LCM of 228 and 235
- LCM of 228 and 236
- LCM of 228 and 237
- LCM of 228 and 238
- LCM of 228 and 239
- LCM of 228 and 240
- LCM of 228 and 241
- LCM of 228 and 242
- LCM of 228 and 243
- LCM of 228 and 244
- LCM of 228 and 245
- LCM of 228 and 246
- LCM of 228 and 247
- LCM of 228 and 248
Related Least Common Multiples of 234
- LCM of 234 and 238
- LCM of 234 and 239
- LCM of 234 and 240
- LCM of 234 and 241
- LCM of 234 and 242
- LCM of 234 and 243
- LCM of 234 and 244
- LCM of 234 and 245
- LCM of 234 and 246
- LCM of 234 and 247
- LCM of 234 and 248
- LCM of 234 and 249
- LCM of 234 and 250
- LCM of 234 and 251
- LCM of 234 and 252
- LCM of 234 and 253
- LCM of 234 and 254