What is the Least Common Multiple of 218 and 238?
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 218 and 238 is 25942.
LCM(218,238) = 25942
Least Common Multiple of 218 and 238 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 218 and 238, than apply into the LCM equation.
GCF(218,238) = 2
LCM(218,238) = ( 218 × 238) / 2
LCM(218,238) = 51884 / 2
LCM(218,238) = 25942
Least Common Multiple (LCM) of 218 and 238 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 218 and 238. First we will calculate the prime factors of 218 and 238.
Prime Factorization of 218
Prime factors of 218 are 2, 109. Prime factorization of 218 in exponential form is:
218 = 21 × 1091
Prime Factorization of 238
Prime factors of 238 are 2, 7, 17. Prime factorization of 238 in exponential form is:
238 = 21 × 71 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 218 and 238.
LCM(218,238) = 21 × 1091 × 71 × 171
LCM(218,238) = 25942
Related Least Common Multiples of 218
- LCM of 218 and 222
- LCM of 218 and 223
- LCM of 218 and 224
- LCM of 218 and 225
- LCM of 218 and 226
- LCM of 218 and 227
- LCM of 218 and 228
- LCM of 218 and 229
- LCM of 218 and 230
- LCM of 218 and 231
- LCM of 218 and 232
- LCM of 218 and 233
- LCM of 218 and 234
- LCM of 218 and 235
- LCM of 218 and 236
- LCM of 218 and 237
- LCM of 218 and 238
Related Least Common Multiples of 238
- LCM of 238 and 242
- LCM of 238 and 243
- LCM of 238 and 244
- LCM of 238 and 245
- LCM of 238 and 246
- LCM of 238 and 247
- LCM of 238 and 248
- LCM of 238 and 249
- LCM of 238 and 250
- LCM of 238 and 251
- LCM of 238 and 252
- LCM of 238 and 253
- LCM of 238 and 254
- LCM of 238 and 255
- LCM of 238 and 256
- LCM of 238 and 257
- LCM of 238 and 258