Least Common Multiple of 5217 and 6063
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5217 and 6063 the smallest integer that is 224331 that is divisible by both numbers.
Least Common Multiple (LCM) of 5217 and 6063 is 224331.
LCM(5217,6063) = 224331
LCM of 5217 and 6063
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5217 and 6063 by Prime method
- Least Common Multiple of 5217 and 6063 with GCF Formula
LCM of 5217 and 6063 is 224331
Least common multiple can be found by multiplying the highest exponent prime factors of 5217 and 6063. First we will calculate the prime factors of 5217 and 6063.
Prime Factorization of 5217
| 3 | 5217 |
| 37 | 1739 |
| 47 | 47 |
| 1 |
Prime factors of 5217 are 3, 37,47. Prime factorization of 5217 in exponential form is:
5217 = 31×371×471
Prime Factorization of 6063
| 3 | 6063 |
| 43 | 2021 |
| 47 | 47 |
| 1 |
Prime factors of 6063 are 3, 43,47. Prime factorization of 6063 in exponential form is:
6063 = 31×431×471
Now multiplying the highest exponent prime factors to calculate the LCM of 5217 and 6063.
LCM(5217,6063) = 31×371×431×471
LCM(5217,6063) = 224331
Factors of 5217
List of positive integer factors of 5217 that divides 5217 without a remainder.
1, 3, 37, 47, 111, 141, 1739, 5217
Factors of 6063
List of positive integer factors of 6063 that divides 6063 without a remainder.
1, 3, 43, 47, 129, 141, 2021, 6063
Least Common Multiple of 5217 and 6063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5217 and 6063, than apply into the LCM equation.
GCF(5217,6063) = 141
LCM(5217,6063) = ( 5217 × 6063) / 141
LCM(5217,6063) = 31630671 / 141
LCM(5217,6063) = 224331
Properties of LCM 5217 and 6063
(i) The LCM of 6063 and 5217 is associative
LCM of 5217 and 6063 = LCM of 6063 and 5217
Related Least Common Multiples of 5217
Related Least Common Multiples of 6063
Frequently Asked Questions on LCM of 5217 and 6063
1. What is the LCM of 5217 and 6063?
Answer: LCM of 5217 and 6063 is 224331.
2. What are the Factors of 5217?
Answer: Factors of 5217 are 1, 3, 37, 47, 111, 141, 1739, 5217. There are 8 integers that are factors of 5217. The greatest factor of 5217 is 5217.
3. What are the Factors of 6063?
Answer: Factors of 6063 are 1, 3, 43, 47, 129, 141, 2021, 6063. There are 8 integers that are factors of 6063. The greatest factor of 6063 is 6063.
4. How to Find the LCM of 5217 and 6063?
Answer:
Least Common Multiple of 5217 and 6063 = 224331
Step 1: Find the prime factorization of 5217
5217 = 3 x 37 x 47
Step 2: Find the prime factorization of 6063
6063 = 3 x 43 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 224331 = 3 x 37 x 43 x 47
Step 4: Therefore, the least common multiple of 5217 and 6063 is 224331.