Least Common Multiple of 2142 and 2147
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2142 and 2147 the smallest integer that is 4598874 that is divisible by both numbers.
Least Common Multiple (LCM) of 2142 and 2147 is 4598874.
LCM(2142,2147) = 4598874
LCM of 2142 and 2147
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2142 and 2147 by Prime method
- Least Common Multiple of 2142 and 2147 with GCF Formula
LCM of 2142 and 2147 is 4598874
Least common multiple can be found by multiplying the highest exponent prime factors of 2142 and 2147. First we will calculate the prime factors of 2142 and 2147.
Prime Factorization of 2142
| 2 | 2142 |
| 3 | 1071 |
| 3 | 357 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 2142 are 2, 3, 7,17. Prime factorization of 2142 in exponential form is:
2142 = 21×32×71×171
Prime Factorization of 2147
| 19 | 2147 |
| 113 | 113 |
| 1 |
Prime factors of 2147 are 19,113. Prime factorization of 2147 in exponential form is:
2147 = 191×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 2142 and 2147.
LCM(2142,2147) = 21×32×71×171×191×1131
LCM(2142,2147) = 4598874
Factors of 2142
List of positive integer factors of 2142 that divides 2142 without a remainder.
1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142
Factors of 2147
List of positive integer factors of 2147 that divides 2147 without a remainder.
1, 19, 113, 2147
Least Common Multiple of 2142 and 2147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2142 and 2147, than apply into the LCM equation.
GCF(2142,2147) = 1
LCM(2142,2147) = ( 2142 × 2147) / 1
LCM(2142,2147) = 4598874 / 1
LCM(2142,2147) = 4598874
Properties of LCM 2142 and 2147
(i) The LCM of 2147 and 2142 is associative
LCM of 2142 and 2147 = LCM of 2147 and 2142
Related Least Common Multiples of 2142
Related Least Common Multiples of 2147
Frequently Asked Questions on LCM of 2142 and 2147
1. What is the LCM of 2142 and 2147?
Answer: LCM of 2142 and 2147 is 4598874.
2. What are the Factors of 2142?
Answer: Factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142. There are 24 integers that are factors of 2142. The greatest factor of 2142 is 2142.
3. What are the Factors of 2147?
Answer: Factors of 2147 are 1, 19, 113, 2147. There are 4 integers that are factors of 2147. The greatest factor of 2147 is 2147.
4. How to Find the LCM of 2142 and 2147?
Answer:
Least Common Multiple of 2142 and 2147 = 4598874
Step 1: Find the prime factorization of 2142
2142 = 2 x 3 x 3 x 7 x 17
Step 2: Find the prime factorization of 2147
2147 = 19 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4598874 = 2 x 3 x 3 x 7 x 17 x 19 x 113
Step 4: Therefore, the least common multiple of 2142 and 2147 is 4598874.