Least Common Multiple of 31014 and 31021
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31014 and 31021 the smallest integer that is 962085294 that is divisible by both numbers.
Least Common Multiple (LCM) of 31014 and 31021 is 962085294.
LCM(31014,31021) = 962085294
LCM of 31014 and 31021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31014 and 31021 by Prime method
- Least Common Multiple of 31014 and 31021 with GCF Formula
LCM of 31014 and 31021 is 962085294
Least common multiple can be found by multiplying the highest exponent prime factors of 31014 and 31021. First we will calculate the prime factors of 31014 and 31021.
Prime Factorization of 31014
| 2 | 31014 |
| 3 | 15507 |
| 3 | 5169 |
| 1723 | 1723 |
| 1 |
Prime factors of 31014 are 2, 3,1723. Prime factorization of 31014 in exponential form is:
31014 = 21×32×17231
Prime Factorization of 31021
| 67 | 31021 |
| 463 | 463 |
| 1 |
Prime factors of 31021 are 67,463. Prime factorization of 31021 in exponential form is:
31021 = 671×4631
Now multiplying the highest exponent prime factors to calculate the LCM of 31014 and 31021.
LCM(31014,31021) = 21×32×671×4631×17231
LCM(31014,31021) = 962085294
Factors of 31014
List of positive integer factors of 31014 that divides 31014 without a remainder.
1, 2, 3, 6, 9, 18, 1723, 3446, 5169, 10338, 15507, 31014
Factors of 31021
List of positive integer factors of 31021 that divides 31021 without a remainder.
1, 67, 463, 31021
Least Common Multiple of 31014 and 31021 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31014 and 31021, than apply into the LCM equation.
GCF(31014,31021) = 1
LCM(31014,31021) = ( 31014 × 31021) / 1
LCM(31014,31021) = 962085294 / 1
LCM(31014,31021) = 962085294
Properties of LCM 31014 and 31021
(i) The LCM of 31021 and 31014 is associative
LCM of 31014 and 31021 = LCM of 31021 and 31014
Related Least Common Multiples of 31014
Related Least Common Multiples of 31021
Frequently Asked Questions on LCM of 31014 and 31021
1. What is the LCM of 31014 and 31021?
Answer: LCM of 31014 and 31021 is 962085294.
2. What are the Factors of 31014?
Answer: Factors of 31014 are 1, 2, 3, 6, 9, 18, 1723, 3446, 5169, 10338, 15507, 31014. There are 12 integers that are factors of 31014. The greatest factor of 31014 is 31014.
3. What are the Factors of 31021?
Answer: Factors of 31021 are 1, 67, 463, 31021. There are 4 integers that are factors of 31021. The greatest factor of 31021 is 31021.
4. How to Find the LCM of 31014 and 31021?
Answer:
Least Common Multiple of 31014 and 31021 = 962085294
Step 1: Find the prime factorization of 31014
31014 = 2 x 3 x 3 x 1723
Step 2: Find the prime factorization of 31021
31021 = 67 x 463
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 962085294 = 2 x 3 x 3 x 67 x 463 x 1723
Step 4: Therefore, the least common multiple of 31014 and 31021 is 962085294.