Least Common Multiple of 4607 and 4615
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4607 and 4615 the smallest integer that is 21261305 that is divisible by both numbers.
Least Common Multiple (LCM) of 4607 and 4615 is 21261305.
LCM(4607,4615) = 21261305
LCM of 4607 and 4615
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4607 and 4615 by Prime method
- Least Common Multiple of 4607 and 4615 with GCF Formula
LCM of 4607 and 4615 is 21261305
Least common multiple can be found by multiplying the highest exponent prime factors of 4607 and 4615. First we will calculate the prime factors of 4607 and 4615.
Prime Factorization of 4607
| 17 | 4607 |
| 271 | 271 |
| 1 |
Prime factors of 4607 are 17,271. Prime factorization of 4607 in exponential form is:
4607 = 171×2711
Prime Factorization of 4615
| 5 | 4615 |
| 13 | 923 |
| 71 | 71 |
| 1 |
Prime factors of 4615 are 5, 13,71. Prime factorization of 4615 in exponential form is:
4615 = 51×131×711
Now multiplying the highest exponent prime factors to calculate the LCM of 4607 and 4615.
LCM(4607,4615) = 51×131×171×711×2711
LCM(4607,4615) = 21261305
Factors of 4607
List of positive integer factors of 4607 that divides 4607 without a remainder.
1, 17, 271, 4607
Factors of 4615
List of positive integer factors of 4615 that divides 4615 without a remainder.
1, 5, 13, 65, 71, 355, 923, 4615
Least Common Multiple of 4607 and 4615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4607 and 4615, than apply into the LCM equation.
GCF(4607,4615) = 1
LCM(4607,4615) = ( 4607 × 4615) / 1
LCM(4607,4615) = 21261305 / 1
LCM(4607,4615) = 21261305
Properties of LCM 4607 and 4615
(i) The LCM of 4615 and 4607 is associative
LCM of 4607 and 4615 = LCM of 4615 and 4607
Related Least Common Multiples of 4607
Related Least Common Multiples of 4615
Frequently Asked Questions on LCM of 4607 and 4615
1. What is the LCM of 4607 and 4615?
Answer: LCM of 4607 and 4615 is 21261305.
2. What are the Factors of 4607?
Answer: Factors of 4607 are 1, 17, 271, 4607. There are 4 integers that are factors of 4607. The greatest factor of 4607 is 4607.
3. What are the Factors of 4615?
Answer: Factors of 4615 are 1, 5, 13, 65, 71, 355, 923, 4615. There are 8 integers that are factors of 4615. The greatest factor of 4615 is 4615.
4. How to Find the LCM of 4607 and 4615?
Answer:
Least Common Multiple of 4607 and 4615 = 21261305
Step 1: Find the prime factorization of 4607
4607 = 17 x 271
Step 2: Find the prime factorization of 4615
4615 = 5 x 13 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 21261305 = 5 x 13 x 17 x 71 x 271
Step 4: Therefore, the least common multiple of 4607 and 4615 is 21261305.