Least Common Multiple of 47339 and 47347
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 47339 and 47347 the smallest integer that is 2241359633 that is divisible by both numbers.
Least Common Multiple (LCM) of 47339 and 47347 is 2241359633.
LCM(47339,47347) = 2241359633
LCM of 47339 and 47347
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 47339 and 47347 by Prime method
- Least Common Multiple of 47339 and 47347 with GCF Formula
LCM of 47339 and 47347 is 2241359633
Least common multiple can be found by multiplying the highest exponent prime factors of 47339 and 47347. First we will calculate the prime factors of 47339 and 47347.
Prime Factorization of 47339
| 47339 | 47339 |
| 1 |
Prime factors of 47339 are 47339. Prime factorization of 47339 in exponential form is:
47339 = 473391
Prime Factorization of 47347
| 113 | 47347 |
| 419 | 419 |
| 1 |
Prime factors of 47347 are 113,419. Prime factorization of 47347 in exponential form is:
47347 = 1131×4191
Now multiplying the highest exponent prime factors to calculate the LCM of 47339 and 47347.
LCM(47339,47347) = 1131×4191×473391
LCM(47339,47347) = 2241359633
Factors of 47339
List of positive integer factors of 47339 that divides 47339 without a remainder.
1, 47339
Factors of 47347
List of positive integer factors of 47347 that divides 47347 without a remainder.
1, 113, 419, 47347
Least Common Multiple of 47339 and 47347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47339 and 47347, than apply into the LCM equation.
GCF(47339,47347) = 1
LCM(47339,47347) = ( 47339 × 47347) / 1
LCM(47339,47347) = 2241359633 / 1
LCM(47339,47347) = 2241359633
Properties of LCM 47339 and 47347
(i) The LCM of 47347 and 47339 is associative
LCM of 47339 and 47347 = LCM of 47347 and 47339
Related Least Common Multiples of 47339
Related Least Common Multiples of 47347
Frequently Asked Questions on LCM of 47339 and 47347
1. What is the LCM of 47339 and 47347?
Answer: LCM of 47339 and 47347 is 2241359633.
2. What are the Factors of 47339?
Answer: Factors of 47339 are 1, 47339. There are 2 integers that are factors of 47339. The greatest factor of 47339 is 47339.
3. What are the Factors of 47347?
Answer: Factors of 47347 are 1, 113, 419, 47347. There are 4 integers that are factors of 47347. The greatest factor of 47347 is 47347.
4. How to Find the LCM of 47339 and 47347?
Answer:
Least Common Multiple of 47339 and 47347 = 2241359633
Step 1: Find the prime factorization of 47339
47339 = 47339
Step 2: Find the prime factorization of 47347
47347 = 113 x 419
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2241359633 = 113 x 419 x 47339
Step 4: Therefore, the least common multiple of 47339 and 47347 is 2241359633.