Least Common Multiple of 47319 and 47323
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 47319 and 47323 the smallest integer that is 2239277037 that is divisible by both numbers.
Least Common Multiple (LCM) of 47319 and 47323 is 2239277037.
LCM(47319,47323) = 2239277037
LCM of 47319 and 47323
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 47319 and 47323 by Prime method
- Least Common Multiple of 47319 and 47323 with GCF Formula
LCM of 47319 and 47323 is 2239277037
Least common multiple can be found by multiplying the highest exponent prime factors of 47319 and 47323. First we will calculate the prime factors of 47319 and 47323.
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
Prime Factorization of 47323
| 37 | 47323 |
| 1279 | 1279 |
| 1 |
Prime factors of 47323 are 37,1279. Prime factorization of 47323 in exponential form is:
47323 = 371×12791
Now multiplying the highest exponent prime factors to calculate the LCM of 47319 and 47323.
LCM(47319,47323) = 31×371×12791×157731
LCM(47319,47323) = 2239277037
Factors of 47319
List of positive integer factors of 47319 that divides 47319 without a remainder.
1, 3, 15773, 47319
Factors of 47323
List of positive integer factors of 47323 that divides 47323 without a remainder.
1, 37, 1279, 47323
Least Common Multiple of 47319 and 47323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47319 and 47323, than apply into the LCM equation.
GCF(47319,47323) = 1
LCM(47319,47323) = ( 47319 × 47323) / 1
LCM(47319,47323) = 2239277037 / 1
LCM(47319,47323) = 2239277037
Properties of LCM 47319 and 47323
(i) The LCM of 47323 and 47319 is associative
LCM of 47319 and 47323 = LCM of 47323 and 47319
Related Least Common Multiples of 47319
Related Least Common Multiples of 47323
Frequently Asked Questions on LCM of 47319 and 47323
1. What is the LCM of 47319 and 47323?
Answer: LCM of 47319 and 47323 is 2239277037.
2. 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.
3. What are the Factors of 47323?
Answer: Factors of 47323 are 1, 37, 1279, 47323. There are 4 integers that are factors of 47323. The greatest factor of 47323 is 47323.
4. How to Find the LCM of 47319 and 47323?
Answer:
Least Common Multiple of 47319 and 47323 = 2239277037
Step 1: Find the prime factorization of 47319
47319 = 3 x 15773
Step 2: Find the prime factorization of 47323
47323 = 37 x 1279
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2239277037 = 3 x 37 x 1279 x 15773
Step 4: Therefore, the least common multiple of 47319 and 47323 is 2239277037.