Least Common Multiple of 4307 and 4315
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4307 and 4315 the smallest integer that is 18584705 that is divisible by both numbers.
Least Common Multiple (LCM) of 4307 and 4315 is 18584705.
LCM(4307,4315) = 18584705
LCM of 4307 and 4315
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4307 and 4315 by Prime method
- Least Common Multiple of 4307 and 4315 with GCF Formula
LCM of 4307 and 4315 is 18584705
Least common multiple can be found by multiplying the highest exponent prime factors of 4307 and 4315. First we will calculate the prime factors of 4307 and 4315.
Prime Factorization of 4307
| 59 | 4307 |
| 73 | 73 |
| 1 |
Prime factors of 4307 are 59,73. Prime factorization of 4307 in exponential form is:
4307 = 591×731
Prime Factorization of 4315
| 5 | 4315 |
| 863 | 863 |
| 1 |
Prime factors of 4315 are 5,863. Prime factorization of 4315 in exponential form is:
4315 = 51×8631
Now multiplying the highest exponent prime factors to calculate the LCM of 4307 and 4315.
LCM(4307,4315) = 51×591×731×8631
LCM(4307,4315) = 18584705
Factors of 4307
List of positive integer factors of 4307 that divides 4307 without a remainder.
1, 59, 73, 4307
Factors of 4315
List of positive integer factors of 4315 that divides 4315 without a remainder.
1, 5, 863, 4315
Least Common Multiple of 4307 and 4315 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4307 and 4315, than apply into the LCM equation.
GCF(4307,4315) = 1
LCM(4307,4315) = ( 4307 × 4315) / 1
LCM(4307,4315) = 18584705 / 1
LCM(4307,4315) = 18584705
Properties of LCM 4307 and 4315
(i) The LCM of 4315 and 4307 is associative
LCM of 4307 and 4315 = LCM of 4315 and 4307
Related Least Common Multiples of 4307
Related Least Common Multiples of 4315
Frequently Asked Questions on LCM of 4307 and 4315
1. What is the LCM of 4307 and 4315?
Answer: LCM of 4307 and 4315 is 18584705.
2. What are the Factors of 4307?
Answer: Factors of 4307 are 1, 59, 73, 4307. There are 4 integers that are factors of 4307. The greatest factor of 4307 is 4307.
3. What are the Factors of 4315?
Answer: Factors of 4315 are 1, 5, 863, 4315. There are 4 integers that are factors of 4315. The greatest factor of 4315 is 4315.
4. How to Find the LCM of 4307 and 4315?
Answer:
Least Common Multiple of 4307 and 4315 = 18584705
Step 1: Find the prime factorization of 4307
4307 = 59 x 73
Step 2: Find the prime factorization of 4315
4315 = 5 x 863
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18584705 = 5 x 59 x 73 x 863
Step 4: Therefore, the least common multiple of 4307 and 4315 is 18584705.