Least Common Multiple of 10142 and 10147
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10142 and 10147 the smallest integer that is 102910874 that is divisible by both numbers.
Least Common Multiple (LCM) of 10142 and 10147 is 102910874.
LCM(10142,10147) = 102910874
LCM of 10142 and 10147
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10142 and 10147 by Prime method
- Least Common Multiple of 10142 and 10147 with GCF Formula
LCM of 10142 and 10147 is 102910874
Least common multiple can be found by multiplying the highest exponent prime factors of 10142 and 10147. First we will calculate the prime factors of 10142 and 10147.
Prime Factorization of 10142
| 2 | 10142 |
| 11 | 5071 |
| 461 | 461 |
| 1 |
Prime factors of 10142 are 2, 11,461. Prime factorization of 10142 in exponential form is:
10142 = 21×111×4611
Prime Factorization of 10147
| 73 | 10147 |
| 139 | 139 |
| 1 |
Prime factors of 10147 are 73,139. Prime factorization of 10147 in exponential form is:
10147 = 731×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 10142 and 10147.
LCM(10142,10147) = 21×111×731×1391×4611
LCM(10142,10147) = 102910874
Factors of 10142
List of positive integer factors of 10142 that divides 10142 without a remainder.
1, 2, 11, 22, 461, 922, 5071, 10142
Factors of 10147
List of positive integer factors of 10147 that divides 10147 without a remainder.
1, 73, 139, 10147
Least Common Multiple of 10142 and 10147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10142 and 10147, than apply into the LCM equation.
GCF(10142,10147) = 1
LCM(10142,10147) = ( 10142 × 10147) / 1
LCM(10142,10147) = 102910874 / 1
LCM(10142,10147) = 102910874
Properties of LCM 10142 and 10147
(i) The LCM of 10147 and 10142 is associative
LCM of 10142 and 10147 = LCM of 10147 and 10142
Related Least Common Multiples of 10142
Related Least Common Multiples of 10147
Frequently Asked Questions on LCM of 10142 and 10147
1. What is the LCM of 10142 and 10147?
Answer: LCM of 10142 and 10147 is 102910874.
2. What are the Factors of 10142?
Answer: Factors of 10142 are 1, 2, 11, 22, 461, 922, 5071, 10142. There are 8 integers that are factors of 10142. The greatest factor of 10142 is 10142.
3. What are the Factors of 10147?
Answer: Factors of 10147 are 1, 73, 139, 10147. There are 4 integers that are factors of 10147. The greatest factor of 10147 is 10147.
4. How to Find the LCM of 10142 and 10147?
Answer:
Least Common Multiple of 10142 and 10147 = 102910874
Step 1: Find the prime factorization of 10142
10142 = 2 x 11 x 461
Step 2: Find the prime factorization of 10147
10147 = 73 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 102910874 = 2 x 11 x 73 x 139 x 461
Step 4: Therefore, the least common multiple of 10142 and 10147 is 102910874.