Least Common Multiple of 139 and 144
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 144 the smallest integer that is 20016 that is divisible by both numbers.
Least Common Multiple (LCM) of 139 and 144 is 20016.
LCM(139,144) = 20016
LCM of 139 and 144
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 139 and 144 by Prime method
- Least Common Multiple of 139 and 144 with GCF Formula
LCM of 139 and 144 is 20016
Least common multiple can be found by multiplying the highest exponent prime factors of 139 and 144. First we will calculate the prime factors of 139 and 144.
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 144
| 2 | 144 |
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factors of 144 are 2,3. Prime factorization of 144 in exponential form is:
144 = 24×32
Now multiplying the highest exponent prime factors to calculate the LCM of 139 and 144.
LCM(139,144) = 24×32×1391
LCM(139,144) = 20016
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1, 139
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Least Common Multiple of 139 and 144 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 144, than apply into the LCM equation.
GCF(139,144) = 1
LCM(139,144) = ( 139 × 144) / 1
LCM(139,144) = 20016 / 1
LCM(139,144) = 20016
Properties of LCM 139 and 144
(i) The LCM of 144 and 139 is associative
LCM of 139 and 144 = LCM of 144 and 139
Related Least Common Multiples of 139
Related Least Common Multiples of 144
Frequently Asked Questions on LCM of 139 and 144
1. What is the LCM of 139 and 144?
Answer: LCM of 139 and 144 is 20016.
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 144?
Answer: Factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. There are 15 integers that are factors of 144. The greatest factor of 144 is 144.
4. How to Find the LCM of 139 and 144?
Answer:
Least Common Multiple of 139 and 144 = 20016
Step 1: Find the prime factorization of 139
139 = 139
Step 2: Find the prime factorization of 144
144 = 2 x 2 x 2 x 2 x 3 x 3
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20016 = 2 x 2 x 2 x 2 x 3 x 3 x 139
Step 4: Therefore, the least common multiple of 139 and 144 is 20016.
