Least Common Multiple of 47313 and 47319
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 47313 and 47319 the smallest integer that is 746267949 that is divisible by both numbers.
Least Common Multiple (LCM) of 47313 and 47319 is 746267949.
LCM(47313,47319) = 746267949
LCM of 47313 and 47319
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 47313 and 47319 by Prime method
- Least Common Multiple of 47313 and 47319 with GCF Formula
LCM of 47313 and 47319 is 746267949
Least common multiple can be found by multiplying the highest exponent prime factors of 47313 and 47319. First we will calculate the prime factors of 47313 and 47319.
Prime Factorization of 47313
| 3 | 47313 |
| 3 | 15771 |
| 7 | 5257 |
| 751 | 751 |
| 1 |
Prime factors of 47313 are 3, 7,751. Prime factorization of 47313 in exponential form is:
47313 = 32×71×7511
Prime Factorization of 47319
| 3 | 47319 |
| 15773 | 15773 |
| 1 |
Prime factors of 47319 are 3,15773. Prime factorization of 47319 in exponential form is:
47319 = 31×157731
Now multiplying the highest exponent prime factors to calculate the LCM of 47313 and 47319.
LCM(47313,47319) = 32×71×7511×157731
LCM(47313,47319) = 746267949
Factors of 47313
List of positive integer factors of 47313 that divides 47313 without a remainder.
1, 3, 7, 9, 21, 63, 751, 2253, 5257, 6759, 15771, 47313
Factors of 47319
List of positive integer factors of 47319 that divides 47319 without a remainder.
1, 3, 15773, 47319
Least Common Multiple of 47313 and 47319 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47313 and 47319, than apply into the LCM equation.
GCF(47313,47319) = 3
LCM(47313,47319) = ( 47313 × 47319) / 3
LCM(47313,47319) = 2238803847 / 3
LCM(47313,47319) = 746267949
Properties of LCM 47313 and 47319
(i) The LCM of 47319 and 47313 is associative
LCM of 47313 and 47319 = LCM of 47319 and 47313
Related Least Common Multiples of 47313
Related Least Common Multiples of 47319
Frequently Asked Questions on LCM of 47313 and 47319
1. What is the LCM of 47313 and 47319?
Answer: LCM of 47313 and 47319 is 746267949.
2. What are the Factors of 47313?
Answer: Factors of 47313 are 1, 3, 7, 9, 21, 63, 751, 2253, 5257, 6759, 15771, 47313. There are 12 integers that are factors of 47313. The greatest factor of 47313 is 47313.
3. What are the Factors of 47319?
Answer: Factors of 47319 are 1, 3, 15773, 47319. There are 4 integers that are factors of 47319. The greatest factor of 47319 is 47319.
4. How to Find the LCM of 47313 and 47319?
Answer:
Least Common Multiple of 47313 and 47319 = 746267949
Step 1: Find the prime factorization of 47313
47313 = 3 x 3 x 7 x 751
Step 2: Find the prime factorization of 47319
47319 = 3 x 15773
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 746267949 = 3 x 3 x 7 x 751 x 15773
Step 4: Therefore, the least common multiple of 47313 and 47319 is 746267949.