Least Common Multiple of 4617 and 4621
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4617 and 4621 the smallest integer that is 21335157 that is divisible by both numbers.
Least Common Multiple (LCM) of 4617 and 4621 is 21335157.
LCM(4617,4621) = 21335157
LCM of 4617 and 4621
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4617 and 4621 by Prime method
- Least Common Multiple of 4617 and 4621 with GCF Formula
LCM of 4617 and 4621 is 21335157
Least common multiple can be found by multiplying the highest exponent prime factors of 4617 and 4621. First we will calculate the prime factors of 4617 and 4621.
Prime Factorization of 4617
| 3 | 4617 |
| 3 | 1539 |
| 3 | 513 |
| 3 | 171 |
| 3 | 57 |
| 19 | 19 |
| 1 |
Prime factors of 4617 are 3,19. Prime factorization of 4617 in exponential form is:
4617 = 35×191
Prime Factorization of 4621
| 4621 | 4621 |
| 1 |
Prime factors of 4621 are 4621. Prime factorization of 4621 in exponential form is:
4621 = 46211
Now multiplying the highest exponent prime factors to calculate the LCM of 4617 and 4621.
LCM(4617,4621) = 35×191×46211
LCM(4617,4621) = 21335157
Factors of 4617
List of positive integer factors of 4617 that divides 4617 without a remainder.
1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617
Factors of 4621
List of positive integer factors of 4621 that divides 4621 without a remainder.
1, 4621
Least Common Multiple of 4617 and 4621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4617 and 4621, than apply into the LCM equation.
GCF(4617,4621) = 1
LCM(4617,4621) = ( 4617 × 4621) / 1
LCM(4617,4621) = 21335157 / 1
LCM(4617,4621) = 21335157
Properties of LCM 4617 and 4621
(i) The LCM of 4621 and 4617 is associative
LCM of 4617 and 4621 = LCM of 4621 and 4617
Related Least Common Multiples of 4617
Related Least Common Multiples of 4621
Frequently Asked Questions on LCM of 4617 and 4621
1. What is the LCM of 4617 and 4621?
Answer: LCM of 4617 and 4621 is 21335157.
2. What are the Factors of 4617?
Answer: Factors of 4617 are 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617. There are 12 integers that are factors of 4617. The greatest factor of 4617 is 4617.
3. What are the Factors of 4621?
Answer: Factors of 4621 are 1, 4621. There are 2 integers that are factors of 4621. The greatest factor of 4621 is 4621.
4. How to Find the LCM of 4617 and 4621?
Answer:
Least Common Multiple of 4617 and 4621 = 21335157
Step 1: Find the prime factorization of 4617
4617 = 3 x 3 x 3 x 3 x 3 x 19
Step 2: Find the prime factorization of 4621
4621 = 4621
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21335157 = 3 x 3 x 3 x 3 x 3 x 19 x 4621
Step 4: Therefore, the least common multiple of 4617 and 4621 is 21335157.