Least Common Multiple of 137 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 137 and 141 the smallest integer that is 19317 that is divisible by both numbers.
Least Common Multiple (LCM) of 137 and 141 is 19317.
LCM(137,141) = 19317
LCM of 137 and 141
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 137 and 141 by Prime method
- Least Common Multiple of 137 and 141 with GCF Formula
LCM of 137 and 141 is 19317
Least common multiple can be found by multiplying the highest exponent prime factors of 137 and 141. First we will calculate the prime factors of 137 and 141.
Prime Factorization of 137
| 137 | 137 |
| 1 |
Prime factors of 137 are 137. Prime factorization of 137 in exponential form is:
137 = 1371
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 137 and 141.
LCM(137,141) = 31×471×1371
LCM(137,141) = 19317
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1, 137
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Least Common Multiple of 137 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 137 and 141, than apply into the LCM equation.
GCF(137,141) = 1
LCM(137,141) = ( 137 × 141) / 1
LCM(137,141) = 19317 / 1
LCM(137,141) = 19317
Properties of LCM 137 and 141
(i) The LCM of 141 and 137 is associative
LCM of 137 and 141 = LCM of 141 and 137
Related Least Common Multiples of 137
Related Least Common Multiples of 141
Frequently Asked Questions on LCM of 137 and 141
1. What is the LCM of 137 and 141?
Answer: LCM of 137 and 141 is 19317.
2. What are the Factors of 137?
Answer: Factors of 137 are 1, 137. There are 2 integers that are factors of 137. The greatest factor of 137 is 137.
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 137 and 141?
Answer:
Least Common Multiple of 137 and 141 = 19317
Step 1: Find the prime factorization of 137
137 = 137
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 = 19317 = 3 x 47 x 137
Step 4: Therefore, the least common multiple of 137 and 141 is 19317.