What is the Least Common Multiple of 208 and 214?
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 208 and 214 is 22256.
LCM(208,214) = 22256
Least Common Multiple of 208 and 214 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 208 and 214, than apply into the LCM equation.
GCF(208,214) = 2
LCM(208,214) = ( 208 × 214) / 2
LCM(208,214) = 44512 / 2
LCM(208,214) = 22256
Least Common Multiple (LCM) of 208 and 214 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 208 and 214. First we will calculate the prime factors of 208 and 214.
Prime Factorization of 208
Prime factors of 208 are 2, 13. Prime factorization of 208 in exponential form is:
208 = 24 × 131
Prime Factorization of 214
Prime factors of 214 are 2, 107. Prime factorization of 214 in exponential form is:
214 = 21 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 208 and 214.
LCM(208,214) = 24 × 131 × 1071
LCM(208,214) = 22256
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
Related Least Common Multiples of 214
- LCM of 214 and 218
- LCM of 214 and 219
- LCM of 214 and 220
- LCM of 214 and 221
- LCM of 214 and 222
- LCM of 214 and 223
- LCM of 214 and 224
- LCM of 214 and 225
- LCM of 214 and 226
- LCM of 214 and 227
- LCM of 214 and 228
- LCM of 214 and 229
- LCM of 214 and 230
- LCM of 214 and 231
- LCM of 214 and 232
- LCM of 214 and 233
- LCM of 214 and 234