Least Common Multiple of 4305 and 4307
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4305 and 4307 the smallest integer that is 18541635 that is divisible by both numbers.
Least Common Multiple (LCM) of 4305 and 4307 is 18541635.
LCM(4305,4307) = 18541635
LCM of 4305 and 4307
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4305 and 4307 by Prime method
- Least Common Multiple of 4305 and 4307 with GCF Formula
LCM of 4305 and 4307 is 18541635
Least common multiple can be found by multiplying the highest exponent prime factors of 4305 and 4307. First we will calculate the prime factors of 4305 and 4307.
Prime Factorization of 4305
| 3 | 4305 |
| 5 | 1435 |
| 7 | 287 |
| 41 | 41 |
| 1 |
Prime factors of 4305 are 3, 5, 7,41. Prime factorization of 4305 in exponential form is:
4305 = 31×51×71×411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4305 and 4307.
LCM(4305,4307) = 31×51×71×411×591×731
LCM(4305,4307) = 18541635
Factors of 4305
List of positive integer factors of 4305 that divides 4305 without a remainder.
1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305
Factors of 4307
List of positive integer factors of 4307 that divides 4307 without a remainder.
1, 59, 73, 4307
Least Common Multiple of 4305 and 4307 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4305 and 4307, than apply into the LCM equation.
GCF(4305,4307) = 1
LCM(4305,4307) = ( 4305 × 4307) / 1
LCM(4305,4307) = 18541635 / 1
LCM(4305,4307) = 18541635
Properties of LCM 4305 and 4307
(i) The LCM of 4307 and 4305 is associative
LCM of 4305 and 4307 = LCM of 4307 and 4305
Related Least Common Multiples of 4305
Related Least Common Multiples of 4307
Frequently Asked Questions on LCM of 4305 and 4307
1. What is the LCM of 4305 and 4307?
Answer: LCM of 4305 and 4307 is 18541635.
2. What are the Factors of 4305?
Answer: Factors of 4305 are 1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305. There are 16 integers that are factors of 4305. The greatest factor of 4305 is 4305.
3. 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.
4. How to Find the LCM of 4305 and 4307?
Answer:
Least Common Multiple of 4305 and 4307 = 18541635
Step 1: Find the prime factorization of 4305
4305 = 3 x 5 x 7 x 41
Step 2: Find the prime factorization of 4307
4307 = 59 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18541635 = 3 x 5 x 7 x 41 x 59 x 73
Step 4: Therefore, the least common multiple of 4305 and 4307 is 18541635.