Least Common Multiple of 31491 and 31499
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31491 and 31499 the smallest integer that is 991935009 that is divisible by both numbers.
Least Common Multiple (LCM) of 31491 and 31499 is 991935009.
LCM(31491,31499) = 991935009
LCM of 31491 and 31499
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31491 and 31499 by Prime method
- Least Common Multiple of 31491 and 31499 with GCF Formula
LCM of 31491 and 31499 is 991935009
Least common multiple can be found by multiplying the highest exponent prime factors of 31491 and 31499. First we will calculate the prime factors of 31491 and 31499.
Prime Factorization of 31491
| 3 | 31491 |
| 3 | 10497 |
| 3499 | 3499 |
| 1 |
Prime factors of 31491 are 3,3499. Prime factorization of 31491 in exponential form is:
31491 = 32×34991
Prime Factorization of 31499
| 13 | 31499 |
| 2423 | 2423 |
| 1 |
Prime factors of 31499 are 13,2423. Prime factorization of 31499 in exponential form is:
31499 = 131×24231
Now multiplying the highest exponent prime factors to calculate the LCM of 31491 and 31499.
LCM(31491,31499) = 32×131×24231×34991
LCM(31491,31499) = 991935009
Factors of 31491
List of positive integer factors of 31491 that divides 31491 without a remainder.
1, 3, 9, 3499, 10497, 31491
Factors of 31499
List of positive integer factors of 31499 that divides 31499 without a remainder.
1, 13, 2423, 31499
Least Common Multiple of 31491 and 31499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31491 and 31499, than apply into the LCM equation.
GCF(31491,31499) = 1
LCM(31491,31499) = ( 31491 × 31499) / 1
LCM(31491,31499) = 991935009 / 1
LCM(31491,31499) = 991935009
Properties of LCM 31491 and 31499
(i) The LCM of 31499 and 31491 is associative
LCM of 31491 and 31499 = LCM of 31499 and 31491
Related Least Common Multiples of 31491
Related Least Common Multiples of 31499
Frequently Asked Questions on LCM of 31491 and 31499
1. What is the LCM of 31491 and 31499?
Answer: LCM of 31491 and 31499 is 991935009.
2. What are the Factors of 31491?
Answer: Factors of 31491 are 1, 3, 9, 3499, 10497, 31491. There are 6 integers that are factors of 31491. The greatest factor of 31491 is 31491.
3. What are the Factors of 31499?
Answer: Factors of 31499 are 1, 13, 2423, 31499. There are 4 integers that are factors of 31499. The greatest factor of 31499 is 31499.
4. How to Find the LCM of 31491 and 31499?
Answer:
Least Common Multiple of 31491 and 31499 = 991935009
Step 1: Find the prime factorization of 31491
31491 = 3 x 3 x 3499
Step 2: Find the prime factorization of 31499
31499 = 13 x 2423
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 991935009 = 3 x 3 x 13 x 2423 x 3499
Step 4: Therefore, the least common multiple of 31491 and 31499 is 991935009.