What is the Least Common Multiple of 218 and 231?
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 231 is 50358.
LCM(218,231) = 50358
Least Common Multiple of 218 and 231 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 231, than apply into the LCM equation.
GCF(218,231) = 1
LCM(218,231) = ( 218 × 231) / 1
LCM(218,231) = 50358 / 1
LCM(218,231) = 50358
Least Common Multiple (LCM) of 218 and 231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 218 and 231. First we will calculate the prime factors of 218 and 231.
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 231
Prime factors of 231 are 3, 7, 11. Prime factorization of 231 in exponential form is:
231 = 31 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 218 and 231.
LCM(218,231) = 21 × 1091 × 31 × 71 × 111
LCM(218,231) = 50358
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
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Related Least Common Multiples of 231
- LCM of 231 and 235
- LCM of 231 and 236
- LCM of 231 and 237
- LCM of 231 and 238
- LCM of 231 and 239
- LCM of 231 and 240
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- LCM of 231 and 242
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- LCM of 231 and 245
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- LCM of 231 and 247
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- LCM of 231 and 249
- LCM of 231 and 250
- LCM of 231 and 251