Least Common Multiple of 139 and 147
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 147 the smallest integer that is 20433 that is divisible by both numbers.
Least Common Multiple (LCM) of 139 and 147 is 20433.
LCM(139,147) = 20433
LCM of 139 and 147
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 139 and 147 by Prime method
- Least Common Multiple of 139 and 147 with GCF Formula
LCM of 139 and 147 is 20433
Least common multiple can be found by multiplying the highest exponent prime factors of 139 and 147. First we will calculate the prime factors of 139 and 147.
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 147
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 147 are 3,7. Prime factorization of 147 in exponential form is:
147 = 31×72
Now multiplying the highest exponent prime factors to calculate the LCM of 139 and 147.
LCM(139,147) = 31×72×1391
LCM(139,147) = 20433
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1, 139
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Least Common Multiple of 139 and 147 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 147, than apply into the LCM equation.
GCF(139,147) = 1
LCM(139,147) = ( 139 × 147) / 1
LCM(139,147) = 20433 / 1
LCM(139,147) = 20433
Properties of LCM 139 and 147
(i) The LCM of 147 and 139 is associative
LCM of 139 and 147 = LCM of 147 and 139
Related Least Common Multiples of 139
Related Least Common Multiples of 147
Frequently Asked Questions on LCM of 139 and 147
1. What is the LCM of 139 and 147?
Answer: LCM of 139 and 147 is 20433.
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 147?
Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.
4. How to Find the LCM of 139 and 147?
Answer:
Least Common Multiple of 139 and 147 = 20433
Step 1: Find the prime factorization of 139
139 = 139
Step 2: Find the prime factorization of 147
147 = 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20433 = 3 x 7 x 7 x 139
Step 4: Therefore, the least common multiple of 139 and 147 is 20433.
