Least Common Multiple of 15195 and 15203
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15195 and 15203 the smallest integer that is 231009585 that is divisible by both numbers.
Least Common Multiple (LCM) of 15195 and 15203 is 231009585.
LCM(15195,15203) = 231009585
LCM of 15195 and 15203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15195 and 15203 by Prime method
- Least Common Multiple of 15195 and 15203 with GCF Formula
LCM of 15195 and 15203 is 231009585
Least common multiple can be found by multiplying the highest exponent prime factors of 15195 and 15203. First we will calculate the prime factors of 15195 and 15203.
Prime Factorization of 15195
| 3 | 15195 |
| 5 | 5065 |
| 1013 | 1013 |
| 1 |
Prime factors of 15195 are 3, 5,1013. Prime factorization of 15195 in exponential form is:
15195 = 31×51×10131
Prime Factorization of 15203
| 23 | 15203 |
| 661 | 661 |
| 1 |
Prime factors of 15203 are 23,661. Prime factorization of 15203 in exponential form is:
15203 = 231×6611
Now multiplying the highest exponent prime factors to calculate the LCM of 15195 and 15203.
LCM(15195,15203) = 31×51×231×6611×10131
LCM(15195,15203) = 231009585
Factors of 15195
List of positive integer factors of 15195 that divides 15195 without a remainder.
1, 3, 5, 15, 1013, 3039, 5065, 15195
Factors of 15203
List of positive integer factors of 15203 that divides 15203 without a remainder.
1, 23, 661, 15203
Least Common Multiple of 15195 and 15203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15195 and 15203, than apply into the LCM equation.
GCF(15195,15203) = 1
LCM(15195,15203) = ( 15195 × 15203) / 1
LCM(15195,15203) = 231009585 / 1
LCM(15195,15203) = 231009585
Properties of LCM 15195 and 15203
(i) The LCM of 15203 and 15195 is associative
LCM of 15195 and 15203 = LCM of 15203 and 15195
Related Least Common Multiples of 15195
Related Least Common Multiples of 15203
Frequently Asked Questions on LCM of 15195 and 15203
1. What is the LCM of 15195 and 15203?
Answer: LCM of 15195 and 15203 is 231009585.
2. What are the Factors of 15195?
Answer: Factors of 15195 are 1, 3, 5, 15, 1013, 3039, 5065, 15195. There are 8 integers that are factors of 15195. The greatest factor of 15195 is 15195.
3. What are the Factors of 15203?
Answer: Factors of 15203 are 1, 23, 661, 15203. There are 4 integers that are factors of 15203. The greatest factor of 15203 is 15203.
4. How to Find the LCM of 15195 and 15203?
Answer:
Least Common Multiple of 15195 and 15203 = 231009585
Step 1: Find the prime factorization of 15195
15195 = 3 x 5 x 1013
Step 2: Find the prime factorization of 15203
15203 = 23 x 661
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231009585 = 3 x 5 x 23 x 661 x 1013
Step 4: Therefore, the least common multiple of 15195 and 15203 is 231009585.