Least Common Multiple of 31497 and 31501
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31497 and 31501 the smallest integer that is 992186997 that is divisible by both numbers.
Least Common Multiple (LCM) of 31497 and 31501 is 992186997.
LCM(31497,31501) = 992186997
LCM of 31497 and 31501
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31497 and 31501 by Prime method
- Least Common Multiple of 31497 and 31501 with GCF Formula
LCM of 31497 and 31501 is 992186997
Least common multiple can be found by multiplying the highest exponent prime factors of 31497 and 31501. First we will calculate the prime factors of 31497 and 31501.
Prime Factorization of 31497
| 3 | 31497 |
| 10499 | 10499 |
| 1 |
Prime factors of 31497 are 3,10499. Prime factorization of 31497 in exponential form is:
31497 = 31×104991
Prime Factorization of 31501
| 17 | 31501 |
| 17 | 1853 |
| 109 | 109 |
| 1 |
Prime factors of 31501 are 17,109. Prime factorization of 31501 in exponential form is:
31501 = 172×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 31497 and 31501.
LCM(31497,31501) = 31×172×1091×104991
LCM(31497,31501) = 992186997
Factors of 31497
List of positive integer factors of 31497 that divides 31497 without a remainder.
1, 3, 10499, 31497
Factors of 31501
List of positive integer factors of 31501 that divides 31501 without a remainder.
1, 17, 109, 289, 1853, 31501
Least Common Multiple of 31497 and 31501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31497 and 31501, than apply into the LCM equation.
GCF(31497,31501) = 1
LCM(31497,31501) = ( 31497 × 31501) / 1
LCM(31497,31501) = 992186997 / 1
LCM(31497,31501) = 992186997
Properties of LCM 31497 and 31501
(i) The LCM of 31501 and 31497 is associative
LCM of 31497 and 31501 = LCM of 31501 and 31497
Related Least Common Multiples of 31497
Related Least Common Multiples of 31501
Frequently Asked Questions on LCM of 31497 and 31501
1. What is the LCM of 31497 and 31501?
Answer: LCM of 31497 and 31501 is 992186997.
2. What are the Factors of 31497?
Answer: Factors of 31497 are 1, 3, 10499, 31497. There are 4 integers that are factors of 31497. The greatest factor of 31497 is 31497.
3. What are the Factors of 31501?
Answer: Factors of 31501 are 1, 17, 109, 289, 1853, 31501. There are 6 integers that are factors of 31501. The greatest factor of 31501 is 31501.
4. How to Find the LCM of 31497 and 31501?
Answer:
Least Common Multiple of 31497 and 31501 = 992186997
Step 1: Find the prime factorization of 31497
31497 = 3 x 10499
Step 2: Find the prime factorization of 31501
31501 = 17 x 17 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 992186997 = 3 x 17 x 17 x 109 x 10499
Step 4: Therefore, the least common multiple of 31497 and 31501 is 992186997.