Least Common Multiple of 47334 and 47341
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 47334 and 47341 the smallest integer that is 320119842 that is divisible by both numbers.
Least Common Multiple (LCM) of 47334 and 47341 is 320119842.
LCM(47334,47341) = 320119842
LCM of 47334 and 47341
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 47334 and 47341 by Prime method
- Least Common Multiple of 47334 and 47341 with GCF Formula
LCM of 47334 and 47341 is 320119842
Least common multiple can be found by multiplying the highest exponent prime factors of 47334 and 47341. First we will calculate the prime factors of 47334 and 47341.
Prime Factorization of 47334
| 2 | 47334 |
| 3 | 23667 |
| 7 | 7889 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 47334 are 2, 3, 7,23. Prime factorization of 47334 in exponential form is:
47334 = 21×31×73×231
Prime Factorization of 47341
| 7 | 47341 |
| 6763 | 6763 |
| 1 |
Prime factors of 47341 are 7,6763. Prime factorization of 47341 in exponential form is:
47341 = 71×67631
Now multiplying the highest exponent prime factors to calculate the LCM of 47334 and 47341.
LCM(47334,47341) = 21×31×73×231×67631
LCM(47334,47341) = 320119842
Factors of 47334
List of positive integer factors of 47334 that divides 47334 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 343, 483, 686, 966, 1029, 1127, 2058, 2254, 3381, 6762, 7889, 15778, 23667, 47334
Factors of 47341
List of positive integer factors of 47341 that divides 47341 without a remainder.
1, 7, 6763, 47341
Least Common Multiple of 47334 and 47341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47334 and 47341, than apply into the LCM equation.
GCF(47334,47341) = 7
LCM(47334,47341) = ( 47334 × 47341) / 7
LCM(47334,47341) = 2240838894 / 7
LCM(47334,47341) = 320119842
Properties of LCM 47334 and 47341
(i) The LCM of 47341 and 47334 is associative
LCM of 47334 and 47341 = LCM of 47341 and 47334
Related Least Common Multiples of 47334
Related Least Common Multiples of 47341
Frequently Asked Questions on LCM of 47334 and 47341
1. What is the LCM of 47334 and 47341?
Answer: LCM of 47334 and 47341 is 320119842.
2. What are the Factors of 47334?
Answer: Factors of 47334 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 343, 483, 686, 966, 1029, 1127, 2058, 2254, 3381, 6762, 7889, 15778, 23667, 47334. There are 32 integers that are factors of 47334. The greatest factor of 47334 is 47334.
3. What are the Factors of 47341?
Answer: Factors of 47341 are 1, 7, 6763, 47341. There are 4 integers that are factors of 47341. The greatest factor of 47341 is 47341.
4. How to Find the LCM of 47334 and 47341?
Answer:
Least Common Multiple of 47334 and 47341 = 320119842
Step 1: Find the prime factorization of 47334
47334 = 2 x 3 x 7 x 7 x 7 x 23
Step 2: Find the prime factorization of 47341
47341 = 7 x 6763
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 320119842 = 2 x 3 x 7 x 7 x 7 x 23 x 6763
Step 4: Therefore, the least common multiple of 47334 and 47341 is 320119842.