Least Common Multiple of 136 and 139
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 136 and 139 the smallest integer that is 18904 that is divisible by both numbers.
Least Common Multiple (LCM) of 136 and 139 is 18904.
LCM(136,139) = 18904
LCM of 136 and 139
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 136 and 139 by Prime method
- Least Common Multiple of 136 and 139 with GCF Formula
LCM of 136 and 139 is 18904
Least common multiple can be found by multiplying the highest exponent prime factors of 136 and 139. First we will calculate the prime factors of 136 and 139.
Prime Factorization of 136
| 2 | 136 |
| 2 | 68 |
| 2 | 34 |
| 17 | 17 |
| 1 |
Prime factors of 136 are 2,17. Prime factorization of 136 in exponential form is:
136 = 23×171
Prime Factorization of 139
| 139 | 139 |
| 1 |
Prime factors of 139 are 139. Prime factorization of 139 in exponential form is:
139 = 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 136 and 139.
LCM(136,139) = 23×171×1391
LCM(136,139) = 18904
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1, 139
Least Common Multiple of 136 and 139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 136 and 139, than apply into the LCM equation.
GCF(136,139) = 1
LCM(136,139) = ( 136 × 139) / 1
LCM(136,139) = 18904 / 1
LCM(136,139) = 18904
Properties of LCM 136 and 139
(i) The LCM of 139 and 136 is associative
LCM of 136 and 139 = LCM of 139 and 136
Related Least Common Multiples of 136
Related Least Common Multiples of 139
Frequently Asked Questions on LCM of 136 and 139
1. What is the LCM of 136 and 139?
Answer: LCM of 136 and 139 is 18904.
2. What are the Factors of 136?
Answer: Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. There are 8 integers that are factors of 136. The greatest factor of 136 is 136.
3. 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.
4. How to Find the LCM of 136 and 139?
Answer:
Least Common Multiple of 136 and 139 = 18904
Step 1: Find the prime factorization of 136
136 = 2 x 2 x 2 x 17
Step 2: Find the prime factorization of 139
139 = 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18904 = 2 x 2 x 2 x 17 x 139
Step 4: Therefore, the least common multiple of 136 and 139 is 18904.
