Least Common Multiple of 143 and 147
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 143 and 147 the smallest integer that is 21021 that is divisible by both numbers.
Least Common Multiple (LCM) of 143 and 147 is 21021.
LCM(143,147) = 21021
LCM of 143 and 147
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 143 and 147 by Prime method
- Least Common Multiple of 143 and 147 with GCF Formula
LCM of 143 and 147 is 21021
Least common multiple can be found by multiplying the highest exponent prime factors of 143 and 147. First we will calculate the prime factors of 143 and 147.
Prime Factorization of 143
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 143 are 11,13. Prime factorization of 143 in exponential form is:
143 = 111×131
Prime Factorization of 147
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 147 are 3,7. Prime factorization of 147 in exponential form is:
147 = 31×72
Now multiplying the highest exponent prime factors to calculate the LCM of 143 and 147.
LCM(143,147) = 31×72×111×131
LCM(143,147) = 21021
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Least Common Multiple of 143 and 147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 143 and 147, than apply into the LCM equation.
GCF(143,147) = 1
LCM(143,147) = ( 143 × 147) / 1
LCM(143,147) = 21021 / 1
LCM(143,147) = 21021
Properties of LCM 143 and 147
(i) The LCM of 147 and 143 is associative
LCM of 143 and 147 = LCM of 147 and 143
Related Least Common Multiples of 143
Related Least Common Multiples of 147
Frequently Asked Questions on LCM of 143 and 147
1. What is the LCM of 143 and 147?
Answer: LCM of 143 and 147 is 21021.
2. What are the Factors of 143?
Answer: Factors of 143 are 1, 11, 13, 143. There are 4 integers that are factors of 143. The greatest factor of 143 is 143.
3. What are the Factors of 147?
Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.
4. How to Find the LCM of 143 and 147?
Answer:
Least Common Multiple of 143 and 147 = 21021
Step 1: Find the prime factorization of 143
143 = 11 x 13
Step 2: Find the prime factorization of 147
147 = 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21021 = 3 x 7 x 7 x 11 x 13
Step 4: Therefore, the least common multiple of 143 and 147 is 21021.