Least Common Multiple of 47322 and 47327
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 47322 and 47327 the smallest integer that is 2239608294 that is divisible by both numbers.
Least Common Multiple (LCM) of 47322 and 47327 is 2239608294.
LCM(47322,47327) = 2239608294
LCM of 47322 and 47327
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 47322 and 47327 by Prime method
- Least Common Multiple of 47322 and 47327 with GCF Formula
LCM of 47322 and 47327 is 2239608294
Least common multiple can be found by multiplying the highest exponent prime factors of 47322 and 47327. First we will calculate the prime factors of 47322 and 47327.
Prime Factorization of 47322
| 2 | 47322 |
| 3 | 23661 |
| 3 | 7887 |
| 11 | 2629 |
| 239 | 239 |
| 1 |
Prime factors of 47322 are 2, 3, 11,239. Prime factorization of 47322 in exponential form is:
47322 = 21×32×111×2391
Prime Factorization of 47327
| 7 | 47327 |
| 6761 | 6761 |
| 1 |
Prime factors of 47327 are 7,6761. Prime factorization of 47327 in exponential form is:
47327 = 71×67611
Now multiplying the highest exponent prime factors to calculate the LCM of 47322 and 47327.
LCM(47322,47327) = 21×32×71×111×2391×67611
LCM(47322,47327) = 2239608294
Factors of 47322
List of positive integer factors of 47322 that divides 47322 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434, 2151, 2629, 4302, 5258, 7887, 15774, 23661, 47322
Factors of 47327
List of positive integer factors of 47327 that divides 47327 without a remainder.
1, 7, 6761, 47327
Least Common Multiple of 47322 and 47327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47322 and 47327, than apply into the LCM equation.
GCF(47322,47327) = 1
LCM(47322,47327) = ( 47322 × 47327) / 1
LCM(47322,47327) = 2239608294 / 1
LCM(47322,47327) = 2239608294
Properties of LCM 47322 and 47327
(i) The LCM of 47327 and 47322 is associative
LCM of 47322 and 47327 = LCM of 47327 and 47322
Related Least Common Multiples of 47322
Related Least Common Multiples of 47327
Frequently Asked Questions on LCM of 47322 and 47327
1. What is the LCM of 47322 and 47327?
Answer: LCM of 47322 and 47327 is 2239608294.
2. What are the Factors of 47322?
Answer: Factors of 47322 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 239, 478, 717, 1434, 2151, 2629, 4302, 5258, 7887, 15774, 23661, 47322. There are 24 integers that are factors of 47322. The greatest factor of 47322 is 47322.
3. What are the Factors of 47327?
Answer: Factors of 47327 are 1, 7, 6761, 47327. There are 4 integers that are factors of 47327. The greatest factor of 47327 is 47327.
4. How to Find the LCM of 47322 and 47327?
Answer:
Least Common Multiple of 47322 and 47327 = 2239608294
Step 1: Find the prime factorization of 47322
47322 = 2 x 3 x 3 x 11 x 239
Step 2: Find the prime factorization of 47327
47327 = 7 x 6761
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2239608294 = 2 x 3 x 3 x 7 x 11 x 239 x 6761
Step 4: Therefore, the least common multiple of 47322 and 47327 is 2239608294.