Least Common Multiple of 138 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 138 and 141 the smallest integer that is 6486 that is divisible by both numbers.
Least Common Multiple (LCM) of 138 and 141 is 6486.
LCM(138,141) = 6486
LCM of 138 and 141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 138 and 141 by Prime method
- Least Common Multiple of 138 and 141 with GCF Formula
LCM of 138 and 141 is 6486
Least common multiple can be found by multiplying the highest exponent prime factors of 138 and 141. First we will calculate the prime factors of 138 and 141.
Prime Factorization of 138
| 2 | 138 |
| 3 | 69 |
| 23 | 23 |
| 1 |
Prime factors of 138 are 2, 3,23. Prime factorization of 138 in exponential form is:
138 = 21×31×231
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 138 and 141.
LCM(138,141) = 21×31×231×471
LCM(138,141) = 6486
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Least Common Multiple of 138 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 138 and 141, than apply into the LCM equation.
GCF(138,141) = 3
LCM(138,141) = ( 138 × 141) / 3
LCM(138,141) = 19458 / 3
LCM(138,141) = 6486
Properties of LCM 138 and 141
(i) The LCM of 141 and 138 is associative
LCM of 138 and 141 = LCM of 141 and 138
Related Least Common Multiples of 138
Related Least Common Multiples of 141
Frequently Asked Questions on LCM of 138 and 141
1. What is the LCM of 138 and 141?
Answer: LCM of 138 and 141 is 6486.
2. What are the Factors of 138?
Answer: Factors of 138 are 1, 2, 3, 6, 23, 46, 69, 138. There are 8 integers that are factors of 138. The greatest factor of 138 is 138.
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 138 and 141?
Answer:
Least Common Multiple of 138 and 141 = 6486
Step 1: Find the prime factorization of 138
138 = 2 x 3 x 23
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 = 6486 = 2 x 3 x 23 x 47
Step 4: Therefore, the least common multiple of 138 and 141 is 6486.
