Least Common Multiple of 15345 and 15353
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15345 and 15353 the smallest integer that is 235591785 that is divisible by both numbers.
Least Common Multiple (LCM) of 15345 and 15353 is 235591785.
LCM(15345,15353) = 235591785
LCM of 15345 and 15353
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15345 and 15353 by Prime method
- Least Common Multiple of 15345 and 15353 with GCF Formula
LCM of 15345 and 15353 is 235591785
Least common multiple can be found by multiplying the highest exponent prime factors of 15345 and 15353. First we will calculate the prime factors of 15345 and 15353.
Prime Factorization of 15345
| 3 | 15345 |
| 3 | 5115 |
| 5 | 1705 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 15345 are 3, 5, 11,31. Prime factorization of 15345 in exponential form is:
15345 = 32×51×111×311
Prime Factorization of 15353
| 13 | 15353 |
| 1181 | 1181 |
| 1 |
Prime factors of 15353 are 13,1181. Prime factorization of 15353 in exponential form is:
15353 = 131×11811
Now multiplying the highest exponent prime factors to calculate the LCM of 15345 and 15353.
LCM(15345,15353) = 32×51×111×131×311×11811
LCM(15345,15353) = 235591785
Factors of 15345
List of positive integer factors of 15345 that divides 15345 without a remainder.
1, 3, 5, 9, 11, 15, 31, 33, 45, 55, 93, 99, 155, 165, 279, 341, 465, 495, 1023, 1395, 1705, 3069, 5115, 15345
Factors of 15353
List of positive integer factors of 15353 that divides 15353 without a remainder.
1, 13, 1181, 15353
Least Common Multiple of 15345 and 15353 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15345 and 15353, than apply into the LCM equation.
GCF(15345,15353) = 1
LCM(15345,15353) = ( 15345 × 15353) / 1
LCM(15345,15353) = 235591785 / 1
LCM(15345,15353) = 235591785
Properties of LCM 15345 and 15353
(i) The LCM of 15353 and 15345 is associative
LCM of 15345 and 15353 = LCM of 15353 and 15345
Related Least Common Multiples of 15345
Related Least Common Multiples of 15353
Frequently Asked Questions on LCM of 15345 and 15353
1. What is the LCM of 15345 and 15353?
Answer: LCM of 15345 and 15353 is 235591785.
2. What are the Factors of 15345?
Answer: Factors of 15345 are 1, 3, 5, 9, 11, 15, 31, 33, 45, 55, 93, 99, 155, 165, 279, 341, 465, 495, 1023, 1395, 1705, 3069, 5115, 15345. There are 24 integers that are factors of 15345. The greatest factor of 15345 is 15345.
3. What are the Factors of 15353?
Answer: Factors of 15353 are 1, 13, 1181, 15353. There are 4 integers that are factors of 15353. The greatest factor of 15353 is 15353.
4. How to Find the LCM of 15345 and 15353?
Answer:
Least Common Multiple of 15345 and 15353 = 235591785
Step 1: Find the prime factorization of 15345
15345 = 3 x 3 x 5 x 11 x 31
Step 2: Find the prime factorization of 15353
15353 = 13 x 1181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 235591785 = 3 x 3 x 5 x 11 x 13 x 31 x 1181
Step 4: Therefore, the least common multiple of 15345 and 15353 is 235591785.