Least Common Multiple of 182 and 189
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 182 and 189 the smallest integer that is 4914 that is divisible by both numbers.
Least Common Multiple (LCM) of 182 and 189 is 4914.
LCM(182,189) = 4914
LCM of 182 and 189
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 182 and 189 by Prime method
- Least Common Multiple of 182 and 189 with GCF Formula
LCM of 182 and 189 is 4914
Least common multiple can be found by multiplying the highest exponent prime factors of 182 and 189. First we will calculate the prime factors of 182 and 189.
Prime Factorization of 182
| 2 | 182 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 182 are 2, 7,13. Prime factorization of 182 in exponential form is:
182 = 21×71×131
Prime Factorization of 189
| 3 | 189 |
| 3 | 63 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 189 are 3,7. Prime factorization of 189 in exponential form is:
189 = 33×71
Now multiplying the highest exponent prime factors to calculate the LCM of 182 and 189.
LCM(182,189) = 21×33×71×131
LCM(182,189) = 4914
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Least Common Multiple of 182 and 189 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 182 and 189, than apply into the LCM equation.
GCF(182,189) = 7
LCM(182,189) = ( 182 × 189) / 7
LCM(182,189) = 34398 / 7
LCM(182,189) = 4914
Properties of LCM 182 and 189
(i) The LCM of 189 and 182 is associative
LCM of 182 and 189 = LCM of 189 and 182
Related Least Common Multiples of 182
Related Least Common Multiples of 189
Frequently Asked Questions on LCM of 182 and 189
1. What is the LCM of 182 and 189?
Answer: LCM of 182 and 189 is 4914.
2. What are the Factors of 182?
Answer: Factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182. There are 8 integers that are factors of 182. The greatest factor of 182 is 182.
3. What are the Factors of 189?
Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.
4. How to Find the LCM of 182 and 189?
Answer:
Least Common Multiple of 182 and 189 = 4914
Step 1: Find the prime factorization of 182
182 = 2 x 7 x 13
Step 2: Find the prime factorization of 189
189 = 3 x 3 x 3 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4914 = 2 x 3 x 3 x 3 x 7 x 13
Step 4: Therefore, the least common multiple of 182 and 189 is 4914.