Least Common Multiple of 139 and 145
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 145 the smallest integer that is 20155 that is divisible by both numbers.
Least Common Multiple (LCM) of 139 and 145 is 20155.
LCM(139,145) = 20155
LCM of 139 and 145
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 139 and 145 by Prime method
- Least Common Multiple of 139 and 145 with GCF Formula
LCM of 139 and 145 is 20155
Least common multiple can be found by multiplying the highest exponent prime factors of 139 and 145. First we will calculate the prime factors of 139 and 145.
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 145
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 145 are 5,29. Prime factorization of 145 in exponential form is:
145 = 51×291
Now multiplying the highest exponent prime factors to calculate the LCM of 139 and 145.
LCM(139,145) = 51×291×1391
LCM(139,145) = 20155
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1, 139
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Least Common Multiple of 139 and 145 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 145, than apply into the LCM equation.
GCF(139,145) = 1
LCM(139,145) = ( 139 × 145) / 1
LCM(139,145) = 20155 / 1
LCM(139,145) = 20155
Properties of LCM 139 and 145
(i) The LCM of 145 and 139 is associative
LCM of 139 and 145 = LCM of 145 and 139
Related Least Common Multiples of 139
Related Least Common Multiples of 145
Frequently Asked Questions on LCM of 139 and 145
1. What is the LCM of 139 and 145?
Answer: LCM of 139 and 145 is 20155.
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 145?
Answer: Factors of 145 are 1, 5, 29, 145. There are 4 integers that are factors of 145. The greatest factor of 145 is 145.
4. How to Find the LCM of 139 and 145?
Answer:
Least Common Multiple of 139 and 145 = 20155
Step 1: Find the prime factorization of 139
139 = 139
Step 2: Find the prime factorization of 145
145 = 5 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20155 = 5 x 29 x 139
Step 4: Therefore, the least common multiple of 139 and 145 is 20155.
