Least Common Multiple of 7137 and 7142
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7137 and 7142 the smallest integer that is 50972454 that is divisible by both numbers.
Least Common Multiple (LCM) of 7137 and 7142 is 50972454.
LCM(7137,7142) = 50972454
LCM of 7137 and 7142
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7137 and 7142 by Prime method
- Least Common Multiple of 7137 and 7142 with GCF Formula
LCM of 7137 and 7142 is 50972454
Least common multiple can be found by multiplying the highest exponent prime factors of 7137 and 7142. First we will calculate the prime factors of 7137 and 7142.
Prime Factorization of 7137
| 3 | 7137 |
| 3 | 2379 |
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 7137 are 3, 13,61. Prime factorization of 7137 in exponential form is:
7137 = 32×131×611
Prime Factorization of 7142
| 2 | 7142 |
| 3571 | 3571 |
| 1 |
Prime factors of 7142 are 2,3571. Prime factorization of 7142 in exponential form is:
7142 = 21×35711
Now multiplying the highest exponent prime factors to calculate the LCM of 7137 and 7142.
LCM(7137,7142) = 21×32×131×611×35711
LCM(7137,7142) = 50972454
Factors of 7137
List of positive integer factors of 7137 that divides 7137 without a remainder.
1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137
Factors of 7142
List of positive integer factors of 7142 that divides 7142 without a remainder.
1, 2, 3571, 7142
Least Common Multiple of 7137 and 7142 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7137 and 7142, than apply into the LCM equation.
GCF(7137,7142) = 1
LCM(7137,7142) = ( 7137 × 7142) / 1
LCM(7137,7142) = 50972454 / 1
LCM(7137,7142) = 50972454
Properties of LCM 7137 and 7142
(i) The LCM of 7142 and 7137 is associative
LCM of 7137 and 7142 = LCM of 7142 and 7137
Related Least Common Multiples of 7137
Related Least Common Multiples of 7142
Frequently Asked Questions on LCM of 7137 and 7142
1. What is the LCM of 7137 and 7142?
Answer: LCM of 7137 and 7142 is 50972454.
2. What are the Factors of 7137?
Answer: Factors of 7137 are 1, 3, 9, 13, 39, 61, 117, 183, 549, 793, 2379, 7137. There are 12 integers that are factors of 7137. The greatest factor of 7137 is 7137.
3. What are the Factors of 7142?
Answer: Factors of 7142 are 1, 2, 3571, 7142. There are 4 integers that are factors of 7142. The greatest factor of 7142 is 7142.
4. How to Find the LCM of 7137 and 7142?
Answer:
Least Common Multiple of 7137 and 7142 = 50972454
Step 1: Find the prime factorization of 7137
7137 = 3 x 3 x 13 x 61
Step 2: Find the prime factorization of 7142
7142 = 2 x 3571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50972454 = 2 x 3 x 3 x 13 x 61 x 3571
Step 4: Therefore, the least common multiple of 7137 and 7142 is 50972454.