What is the Least Common Multiple of 205 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 205 and 214 is 43870.
LCM(205,214) = 43870
Least Common Multiple of 205 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 205 and 214, than apply into the LCM equation.
GCF(205,214) = 1
LCM(205,214) = ( 205 × 214) / 1
LCM(205,214) = 43870 / 1
LCM(205,214) = 43870
Least Common Multiple (LCM) of 205 and 214 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 205 and 214. First we will calculate the prime factors of 205 and 214.
Prime Factorization of 205
Prime factors of 205 are 5, 41. Prime factorization of 205 in exponential form is:
205 = 51 × 411
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 205 and 214.
LCM(205,214) = 51 × 411 × 21 × 1071
LCM(205,214) = 43870
Related Least Common Multiples of 205
- LCM of 205 and 209
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- LCM of 205 and 212
- LCM of 205 and 213
- LCM of 205 and 214
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- LCM of 205 and 216
- LCM of 205 and 217
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- LCM of 205 and 219
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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
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- LCM of 214 and 230
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- LCM of 214 and 232
- LCM of 214 and 233
- LCM of 214 and 234