Least Common Multiple of 137 and 142
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 142 the smallest integer that is 19454 that is divisible by both numbers.
Least Common Multiple (LCM) of 137 and 142 is 19454.
LCM(137,142) = 19454
LCM of 137 and 142
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 137 and 142 by Prime method
- Least Common Multiple of 137 and 142 with GCF Formula
LCM of 137 and 142 is 19454
Least common multiple can be found by multiplying the highest exponent prime factors of 137 and 142. First we will calculate the prime factors of 137 and 142.
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 142
| 2 | 142 |
| 71 | 71 |
| 1 |
Prime factors of 142 are 2,71. Prime factorization of 142 in exponential form is:
142 = 21×711
Now multiplying the highest exponent prime factors to calculate the LCM of 137 and 142.
LCM(137,142) = 21×711×1371
LCM(137,142) = 19454
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1, 137
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Least Common Multiple of 137 and 142 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 142, than apply into the LCM equation.
GCF(137,142) = 1
LCM(137,142) = ( 137 × 142) / 1
LCM(137,142) = 19454 / 1
LCM(137,142) = 19454
Properties of LCM 137 and 142
(i) The LCM of 142 and 137 is associative
LCM of 137 and 142 = LCM of 142 and 137
Related Least Common Multiples of 137
Related Least Common Multiples of 142
Frequently Asked Questions on LCM of 137 and 142
1. What is the LCM of 137 and 142?
Answer: LCM of 137 and 142 is 19454.
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 142?
Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.
4. How to Find the LCM of 137 and 142?
Answer:
Least Common Multiple of 137 and 142 = 19454
Step 1: Find the prime factorization of 137
137 = 137
Step 2: Find the prime factorization of 142
142 = 2 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19454 = 2 x 71 x 137
Step 4: Therefore, the least common multiple of 137 and 142 is 19454.