Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 184 and 187 the smallest integer that is 34408 that is divisible by both numbers.
Least Common Multiple (LCM) of 184 and 187 is 34408.
LCM(184,187) = 34408
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 184 and 187. First we will calculate the prime factors of 184 and 187.
Prime Factorization of 184
2 | 184 |
2 | 92 |
2 | 46 |
23 | 23 |
1 |
Prime factors of 184 are 2,23. Prime factorization of 184 in exponential form is:
184 = 23×231
Prime Factorization of 187
11 | 187 |
17 | 17 |
1 |
Prime factors of 187 are 11,17. Prime factorization of 187 in exponential form is:
187 = 111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 184 and 187.
LCM(184,187) = 23×111×171×231
LCM(184,187) = 34408
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1, 11, 17, 187
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 184 and 187, than apply into the LCM equation.
GCF(184,187) = 1
LCM(184,187) = ( 184 × 187) / 1
LCM(184,187) = 34408 / 1
LCM(184,187) = 34408
(i) The LCM of 187 and 184 is associative
LCM of 184 and 187 = LCM of 187 and 184
1. What is the LCM of 184 and 187?
Answer: LCM of 184 and 187 is 34408.
2. What are the Factors of 184?
Answer: Factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. There are 8 integers that are factors of 184. The greatest factor of 184 is 184.
3. What are the Factors of 187?
Answer: Factors of 187 are 1, 11, 17, 187. There are 4 integers that are factors of 187. The greatest factor of 187 is 187.
4. How to Find the LCM of 184 and 187?
Answer:
Least Common Multiple of 184 and 187 = 34408
Step 1: Find the prime factorization of 184
184 = 2 x 2 x 2 x 23
Step 2: Find the prime factorization of 187
187 = 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34408 = 2 x 2 x 2 x 11 x 17 x 23
Step 4: Therefore, the least common multiple of 184 and 187 is 34408.