What is the Least Common Multiple of 216 and 223?
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 216 and 223 is 48168.
LCM(216,223) = 48168
Least Common Multiple of 216 and 223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 216 and 223, than apply into the LCM equation.
GCF(216,223) = 1
LCM(216,223) = ( 216 × 223) / 1
LCM(216,223) = 48168 / 1
LCM(216,223) = 48168
Least Common Multiple (LCM) of 216 and 223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 216 and 223. First we will calculate the prime factors of 216 and 223.
Prime Factorization of 216
Prime factors of 216 are 2, 3. Prime factorization of 216 in exponential form is:
216 = 23 × 33
Prime Factorization of 223
Prime factors of 223 are 223. Prime factorization of 223 in exponential form is:
223 = 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 216 and 223.
LCM(216,223) = 23 × 33 × 2231
LCM(216,223) = 48168
Related Least Common Multiples of 216
- LCM of 216 and 220
- LCM of 216 and 221
- LCM of 216 and 222
- LCM of 216 and 223
- LCM of 216 and 224
- LCM of 216 and 225
- LCM of 216 and 226
- LCM of 216 and 227
- LCM of 216 and 228
- LCM of 216 and 229
- LCM of 216 and 230
- LCM of 216 and 231
- LCM of 216 and 232
- LCM of 216 and 233
- LCM of 216 and 234
- LCM of 216 and 235
- LCM of 216 and 236
Related Least Common Multiples of 223
- LCM of 223 and 227
- LCM of 223 and 228
- LCM of 223 and 229
- LCM of 223 and 230
- LCM of 223 and 231
- LCM of 223 and 232
- LCM of 223 and 233
- LCM of 223 and 234
- LCM of 223 and 235
- LCM of 223 and 236
- LCM of 223 and 237
- LCM of 223 and 238
- LCM of 223 and 239
- LCM of 223 and 240
- LCM of 223 and 241
- LCM of 223 and 242
- LCM of 223 and 243