What is the Least Common Multiple of 219 and 228?
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 219 and 228 is 16644.
LCM(219,228) = 16644
Least Common Multiple of 219 and 228 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 219 and 228, than apply into the LCM equation.
GCF(219,228) = 3
LCM(219,228) = ( 219 × 228) / 3
LCM(219,228) = 49932 / 3
LCM(219,228) = 16644
Least Common Multiple (LCM) of 219 and 228 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 219 and 228. First we will calculate the prime factors of 219 and 228.
Prime Factorization of 219
Prime factors of 219 are 3, 73. Prime factorization of 219 in exponential form is:
219 = 31 × 731
Prime Factorization of 228
Prime factors of 228 are 2, 3, 19. Prime factorization of 228 in exponential form is:
228 = 22 × 31 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 219 and 228.
LCM(219,228) = 31 × 731 × 22 × 191
LCM(219,228) = 16644
Related Least Common Multiples of 219
- LCM of 219 and 223
- LCM of 219 and 224
- LCM of 219 and 225
- LCM of 219 and 226
- LCM of 219 and 227
- LCM of 219 and 228
- LCM of 219 and 229
- LCM of 219 and 230
- LCM of 219 and 231
- LCM of 219 and 232
- LCM of 219 and 233
- LCM of 219 and 234
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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
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- 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