Least Common Multiple of 142 and 146
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 146 the smallest integer that is 10366 that is divisible by both numbers.
Least Common Multiple (LCM) of 142 and 146 is 10366.
LCM(142,146) = 10366
LCM of 142 and 146
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 142 and 146 by Prime method
- Least Common Multiple of 142 and 146 with GCF Formula
LCM of 142 and 146 is 10366
Least common multiple can be found by multiplying the highest exponent prime factors of 142 and 146. First we will calculate the prime factors of 142 and 146.
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 146
| 2 | 146 |
| 73 | 73 |
| 1 |
Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:
146 = 21×731
Now multiplying the highest exponent prime factors to calculate the LCM of 142 and 146.
LCM(142,146) = 21×711×731
LCM(142,146) = 10366
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Least Common Multiple of 142 and 146 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 146, than apply into the LCM equation.
GCF(142,146) = 2
LCM(142,146) = ( 142 × 146) / 2
LCM(142,146) = 20732 / 2
LCM(142,146) = 10366
Properties of LCM 142 and 146
(i) The LCM of 146 and 142 is associative
LCM of 142 and 146 = LCM of 146 and 142
Related Least Common Multiples of 142
Related Least Common Multiples of 146
Frequently Asked Questions on LCM of 142 and 146
1. What is the LCM of 142 and 146?
Answer: LCM of 142 and 146 is 10366.
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 146?
Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.
4. How to Find the LCM of 142 and 146?
Answer:
Least Common Multiple of 142 and 146 = 10366
Step 1: Find the prime factorization of 142
142 = 2 x 71
Step 2: Find the prime factorization of 146
146 = 2 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10366 = 2 x 71 x 73
Step 4: Therefore, the least common multiple of 142 and 146 is 10366.
