Least Common Multiple of 3131 and 3139
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3131 and 3139 the smallest integer that is 9828209 that is divisible by both numbers.
Least Common Multiple (LCM) of 3131 and 3139 is 9828209.
LCM(3131,3139) = 9828209
LCM of 3131 and 3139
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3131 and 3139 by Prime method
- Least Common Multiple of 3131 and 3139 with GCF Formula
LCM of 3131 and 3139 is 9828209
Least common multiple can be found by multiplying the highest exponent prime factors of 3131 and 3139. First we will calculate the prime factors of 3131 and 3139.
Prime Factorization of 3131
| 31 | 3131 |
| 101 | 101 |
| 1 |
Prime factors of 3131 are 31,101. Prime factorization of 3131 in exponential form is:
3131 = 311×1011
Prime Factorization of 3139
| 43 | 3139 |
| 73 | 73 |
| 1 |
Prime factors of 3139 are 43,73. Prime factorization of 3139 in exponential form is:
3139 = 431×731
Now multiplying the highest exponent prime factors to calculate the LCM of 3131 and 3139.
LCM(3131,3139) = 311×431×731×1011
LCM(3131,3139) = 9828209
Factors of 3131
List of positive integer factors of 3131 that divides 3131 without a remainder.
1, 31, 101, 3131
Factors of 3139
List of positive integer factors of 3139 that divides 3139 without a remainder.
1, 43, 73, 3139
Least Common Multiple of 3131 and 3139 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3131 and 3139, than apply into the LCM equation.
GCF(3131,3139) = 1
LCM(3131,3139) = ( 3131 × 3139) / 1
LCM(3131,3139) = 9828209 / 1
LCM(3131,3139) = 9828209
Properties of LCM 3131 and 3139
(i) The LCM of 3139 and 3131 is associative
LCM of 3131 and 3139 = LCM of 3139 and 3131
Related Least Common Multiples of 3131
Related Least Common Multiples of 3139
Frequently Asked Questions on LCM of 3131 and 3139
1. What is the LCM of 3131 and 3139?
Answer: LCM of 3131 and 3139 is 9828209.
2. What are the Factors of 3131?
Answer: Factors of 3131 are 1, 31, 101, 3131. There are 4 integers that are factors of 3131. The greatest factor of 3131 is 3131.
3. What are the Factors of 3139?
Answer: Factors of 3139 are 1, 43, 73, 3139. There are 4 integers that are factors of 3139. The greatest factor of 3139 is 3139.
4. How to Find the LCM of 3131 and 3139?
Answer:
Least Common Multiple of 3131 and 3139 = 9828209
Step 1: Find the prime factorization of 3131
3131 = 31 x 101
Step 2: Find the prime factorization of 3139
3139 = 43 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 = 9828209 = 31 x 43 x 73 x 101
Step 4: Therefore, the least common multiple of 3131 and 3139 is 9828209.