Least Common Multiple of 139 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 139 and 142 the smallest integer that is 19738 that is divisible by both numbers.
Least Common Multiple (LCM) of 139 and 142 is 19738.
LCM(139,142) = 19738
LCM of 139 and 142
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 139 and 142 by Prime method
- Least Common Multiple of 139 and 142 with GCF Formula
LCM of 139 and 142 is 19738
Least common multiple can be found by multiplying the highest exponent prime factors of 139 and 142. First we will calculate the prime factors of 139 and 142.
Prime Factorization of 139
| 139 | 139 |
| 1 |
Prime factors of 139 are 139. Prime factorization of 139 in exponential form is:
139 = 1391
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 139 and 142.
LCM(139,142) = 21×711×1391
LCM(139,142) = 19738
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1, 139
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Least Common Multiple of 139 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 139 and 142, than apply into the LCM equation.
GCF(139,142) = 1
LCM(139,142) = ( 139 × 142) / 1
LCM(139,142) = 19738 / 1
LCM(139,142) = 19738
Properties of LCM 139 and 142
(i) The LCM of 142 and 139 is associative
LCM of 139 and 142 = LCM of 142 and 139
Related Least Common Multiples of 139
Related Least Common Multiples of 142
Frequently Asked Questions on LCM of 139 and 142
1. What is the LCM of 139 and 142?
Answer: LCM of 139 and 142 is 19738.
2. What are the Factors of 139?
Answer: Factors of 139 are 1, 139. There are 2 integers that are factors of 139. The greatest factor of 139 is 139.
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 139 and 142?
Answer:
Least Common Multiple of 139 and 142 = 19738
Step 1: Find the prime factorization of 139
139 = 139
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 = 19738 = 2 x 71 x 139
Step 4: Therefore, the least common multiple of 139 and 142 is 19738.
