Least Common Multiple of 139 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 139 and 146 the smallest integer that is 20294 that is divisible by both numbers.
Least Common Multiple (LCM) of 139 and 146 is 20294.
LCM(139,146) = 20294
LCM of 139 and 146
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 139 and 146 by Prime method
- Least Common Multiple of 139 and 146 with GCF Formula
LCM of 139 and 146 is 20294
Least common multiple can be found by multiplying the highest exponent prime factors of 139 and 146. First we will calculate the prime factors of 139 and 146.
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 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 139 and 146.
LCM(139,146) = 21×731×1391
LCM(139,146) = 20294
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1, 139
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Least Common Multiple of 139 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 139 and 146, than apply into the LCM equation.
GCF(139,146) = 1
LCM(139,146) = ( 139 × 146) / 1
LCM(139,146) = 20294 / 1
LCM(139,146) = 20294
Properties of LCM 139 and 146
(i) The LCM of 146 and 139 is associative
LCM of 139 and 146 = LCM of 146 and 139
Related Least Common Multiples of 139
Related Least Common Multiples of 146
Frequently Asked Questions on LCM of 139 and 146
1. What is the LCM of 139 and 146?
Answer: LCM of 139 and 146 is 20294.
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 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 139 and 146?
Answer:
Least Common Multiple of 139 and 146 = 20294
Step 1: Find the prime factorization of 139
139 = 139
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 = 20294 = 2 x 73 x 139
Step 4: Therefore, the least common multiple of 139 and 146 is 20294.