Least Common Multiple of 134 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 134 and 141 the smallest integer that is 18894 that is divisible by both numbers.
Least Common Multiple (LCM) of 134 and 141 is 18894.
LCM(134,141) = 18894
LCM of 134 and 141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 134 and 141 by Prime method
- Least Common Multiple of 134 and 141 with GCF Formula
LCM of 134 and 141 is 18894
Least common multiple can be found by multiplying the highest exponent prime factors of 134 and 141. First we will calculate the prime factors of 134 and 141.
Prime Factorization of 134
| 2 | 134 |
| 67 | 67 |
| 1 |
Prime factors of 134 are 2,67. Prime factorization of 134 in exponential form is:
134 = 21×671
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 134 and 141.
LCM(134,141) = 21×31×471×671
LCM(134,141) = 18894
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Least Common Multiple of 134 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 134 and 141, than apply into the LCM equation.
GCF(134,141) = 1
LCM(134,141) = ( 134 × 141) / 1
LCM(134,141) = 18894 / 1
LCM(134,141) = 18894
Properties of LCM 134 and 141
(i) The LCM of 141 and 134 is associative
LCM of 134 and 141 = LCM of 141 and 134
Related Least Common Multiples of 134
Related Least Common Multiples of 141
Frequently Asked Questions on LCM of 134 and 141
1. What is the LCM of 134 and 141?
Answer: LCM of 134 and 141 is 18894.
2. What are the Factors of 134?
Answer: Factors of 134 are 1, 2, 67, 134. There are 4 integers that are factors of 134. The greatest factor of 134 is 134.
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 134 and 141?
Answer:
Least Common Multiple of 134 and 141 = 18894
Step 1: Find the prime factorization of 134
134 = 2 x 67
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 = 18894 = 2 x 3 x 47 x 67
Step 4: Therefore, the least common multiple of 134 and 141 is 18894.
