Least Common Multiple of 133 and 141
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 133 and 141 the smallest integer that is 18753 that is divisible by both numbers.
Least Common Multiple (LCM) of 133 and 141 is 18753.
LCM(133,141) = 18753
LCM of 133 and 141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 133 and 141 by Prime method
- Least Common Multiple of 133 and 141 with GCF Formula
LCM of 133 and 141 is 18753
Least common multiple can be found by multiplying the highest exponent prime factors of 133 and 141. First we will calculate the prime factors of 133 and 141.
Prime Factorization of 133
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 133 are 7,19. Prime factorization of 133 in exponential form is:
133 = 71×191
Prime Factorization of 141
| 3 | 141 |
| 47 | 47 |
| 1 |
Prime factors of 141 are 3,47. Prime factorization of 141 in exponential form is:
141 = 31×471
Now multiplying the highest exponent prime factors to calculate the LCM of 133 and 141.
LCM(133,141) = 31×71×191×471
LCM(133,141) = 18753
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Least Common Multiple of 133 and 141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 133 and 141, than apply into the LCM equation.
GCF(133,141) = 1
LCM(133,141) = ( 133 × 141) / 1
LCM(133,141) = 18753 / 1
LCM(133,141) = 18753
Properties of LCM 133 and 141
(i) The LCM of 141 and 133 is associative
LCM of 133 and 141 = LCM of 141 and 133
Related Least Common Multiples of 133
Related Least Common Multiples of 141
Frequently Asked Questions on LCM of 133 and 141
1. What is the LCM of 133 and 141?
Answer: LCM of 133 and 141 is 18753.
2. What are the Factors of 133?
Answer: Factors of 133 are 1, 7, 19, 133. There are 4 integers that are factors of 133. The greatest factor of 133 is 133.
3. What are the Factors of 141?
Answer: Factors of 141 are 1, 3, 47, 141. There are 4 integers that are factors of 141. The greatest factor of 141 is 141.
4. How to Find the LCM of 133 and 141?
Answer:
Least Common Multiple of 133 and 141 = 18753
Step 1: Find the prime factorization of 133
133 = 7 x 19
Step 2: Find the prime factorization of 141
141 = 3 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18753 = 3 x 7 x 19 x 47
Step 4: Therefore, the least common multiple of 133 and 141 is 18753.