Least Common Multiple of 15185 and 15190
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15185 and 15190 the smallest integer that is 46132030 that is divisible by both numbers.
Least Common Multiple (LCM) of 15185 and 15190 is 46132030.
LCM(15185,15190) = 46132030
LCM of 15185 and 15190
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15185 and 15190 by Prime method
- Least Common Multiple of 15185 and 15190 with GCF Formula
LCM of 15185 and 15190 is 46132030
Least common multiple can be found by multiplying the highest exponent prime factors of 15185 and 15190. First we will calculate the prime factors of 15185 and 15190.
Prime Factorization of 15185
| 5 | 15185 |
| 3037 | 3037 |
| 1 |
Prime factors of 15185 are 5,3037. Prime factorization of 15185 in exponential form is:
15185 = 51×30371
Prime Factorization of 15190
| 2 | 15190 |
| 5 | 7595 |
| 7 | 1519 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 15190 are 2, 5, 7,31. Prime factorization of 15190 in exponential form is:
15190 = 21×51×72×311
Now multiplying the highest exponent prime factors to calculate the LCM of 15185 and 15190.
LCM(15185,15190) = 21×51×72×311×30371
LCM(15185,15190) = 46132030
Factors of 15185
List of positive integer factors of 15185 that divides 15185 without a remainder.
1, 5, 3037, 15185
Factors of 15190
List of positive integer factors of 15190 that divides 15190 without a remainder.
1, 2, 5, 7, 10, 14, 31, 35, 49, 62, 70, 98, 155, 217, 245, 310, 434, 490, 1085, 1519, 2170, 3038, 7595, 15190
Least Common Multiple of 15185 and 15190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15185 and 15190, than apply into the LCM equation.
GCF(15185,15190) = 5
LCM(15185,15190) = ( 15185 × 15190) / 5
LCM(15185,15190) = 230660150 / 5
LCM(15185,15190) = 46132030
Properties of LCM 15185 and 15190
(i) The LCM of 15190 and 15185 is associative
LCM of 15185 and 15190 = LCM of 15190 and 15185
Related Least Common Multiples of 15185
Related Least Common Multiples of 15190
Frequently Asked Questions on LCM of 15185 and 15190
1. What is the LCM of 15185 and 15190?
Answer: LCM of 15185 and 15190 is 46132030.
2. What are the Factors of 15185?
Answer: Factors of 15185 are 1, 5, 3037, 15185. There are 4 integers that are factors of 15185. The greatest factor of 15185 is 15185.
3. What are the Factors of 15190?
Answer: Factors of 15190 are 1, 2, 5, 7, 10, 14, 31, 35, 49, 62, 70, 98, 155, 217, 245, 310, 434, 490, 1085, 1519, 2170, 3038, 7595, 15190. There are 24 integers that are factors of 15190. The greatest factor of 15190 is 15190.
4. How to Find the LCM of 15185 and 15190?
Answer:
Least Common Multiple of 15185 and 15190 = 46132030
Step 1: Find the prime factorization of 15185
15185 = 5 x 3037
Step 2: Find the prime factorization of 15190
15190 = 2 x 5 x 7 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46132030 = 2 x 5 x 7 x 7 x 31 x 3037
Step 4: Therefore, the least common multiple of 15185 and 15190 is 46132030.