Least Common Multiple of 142 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 142 and 147 the smallest integer that is 20874 that is divisible by both numbers.
Least Common Multiple (LCM) of 142 and 147 is 20874.
LCM(142,147) = 20874
LCM of 142 and 147
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 142 and 147 by Prime method
- Least Common Multiple of 142 and 147 with GCF Formula
LCM of 142 and 147 is 20874
Least common multiple can be found by multiplying the highest exponent prime factors of 142 and 147. First we will calculate the prime factors of 142 and 147.
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
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 142 and 147.
LCM(142,147) = 21×31×72×711
LCM(142,147) = 20874
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1, 2, 71, 142
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 142 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 142 and 147, than apply into the LCM equation.
GCF(142,147) = 1
LCM(142,147) = ( 142 × 147) / 1
LCM(142,147) = 20874 / 1
LCM(142,147) = 20874
Properties of LCM 142 and 147
(i) The LCM of 147 and 142 is associative
LCM of 142 and 147 = LCM of 147 and 142
Related Least Common Multiples of 142
Related Least Common Multiples of 147
Frequently Asked Questions on LCM of 142 and 147
1. What is the LCM of 142 and 147?
Answer: LCM of 142 and 147 is 20874.
2. 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.
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 142 and 147?
Answer:
Least Common Multiple of 142 and 147 = 20874
Step 1: Find the prime factorization of 142
142 = 2 x 71
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 = 20874 = 2 x 3 x 7 x 7 x 71
Step 4: Therefore, the least common multiple of 142 and 147 is 20874.
