Least Common Multiple of 134 and 142
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 134 and 142 the smallest integer that is 9514 that is divisible by both numbers.
Least Common Multiple (LCM) of 134 and 142 is 9514.
LCM(134,142) = 9514
LCM of 134 and 142
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 134 and 142 by Prime method
- Least Common Multiple of 134 and 142 with GCF Formula
LCM of 134 and 142 is 9514
Least common multiple can be found by multiplying the highest exponent prime factors of 134 and 142. First we will calculate the prime factors of 134 and 142.
Prime Factorization of 134
| 2 | 134 |
| 67 | 67 |
| 1 |
Prime factors of 134 are 2,67. Prime factorization of 134 in exponential form is:
134 = 21×671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 134 and 142.
LCM(134,142) = 21×671×711
LCM(134,142) = 9514
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Least Common Multiple of 134 and 142 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 134 and 142, than apply into the LCM equation.
GCF(134,142) = 2
LCM(134,142) = ( 134 × 142) / 2
LCM(134,142) = 19028 / 2
LCM(134,142) = 9514
Properties of LCM 134 and 142
(i) The LCM of 142 and 134 is associative
LCM of 134 and 142 = LCM of 142 and 134
Related Least Common Multiples of 134
Related Least Common Multiples of 142
Frequently Asked Questions on LCM of 134 and 142
1. What is the LCM of 134 and 142?
Answer: LCM of 134 and 142 is 9514.
2. What are the Factors of 134?
Answer: Factors of 134 are 1, 2, 67, 134. There are 4 integers that are factors of 134. The greatest factor of 134 is 134.
3. 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.
4. How to Find the LCM of 134 and 142?
Answer:
Least Common Multiple of 134 and 142 = 9514
Step 1: Find the prime factorization of 134
134 = 2 x 67
Step 2: Find the prime factorization of 142
142 = 2 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9514 = 2 x 67 x 71
Step 4: Therefore, the least common multiple of 134 and 142 is 9514.