Least Common Multiple of 15190 and 15195
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15190 and 15195 the smallest integer that is 46162410 that is divisible by both numbers.
Least Common Multiple (LCM) of 15190 and 15195 is 46162410.
LCM(15190,15195) = 46162410
LCM of 15190 and 15195
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15190 and 15195 by Prime method
- Least Common Multiple of 15190 and 15195 with GCF Formula
LCM of 15190 and 15195 is 46162410
Least common multiple can be found by multiplying the highest exponent prime factors of 15190 and 15195. First we will calculate the prime factors of 15190 and 15195.
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
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
Now multiplying the highest exponent prime factors to calculate the LCM of 15190 and 15195.
LCM(15190,15195) = 21×31×51×72×311×10131
LCM(15190,15195) = 46162410
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
Factors of 15195
List of positive integer factors of 15195 that divides 15195 without a remainder.
1, 3, 5, 15, 1013, 3039, 5065, 15195
Least Common Multiple of 15190 and 15195 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15190 and 15195, than apply into the LCM equation.
GCF(15190,15195) = 5
LCM(15190,15195) = ( 15190 × 15195) / 5
LCM(15190,15195) = 230812050 / 5
LCM(15190,15195) = 46162410
Properties of LCM 15190 and 15195
(i) The LCM of 15195 and 15190 is associative
LCM of 15190 and 15195 = LCM of 15195 and 15190
Related Least Common Multiples of 15190
Related Least Common Multiples of 15195
Frequently Asked Questions on LCM of 15190 and 15195
1. What is the LCM of 15190 and 15195?
Answer: LCM of 15190 and 15195 is 46162410.
2. 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.
3. 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.
4. How to Find the LCM of 15190 and 15195?
Answer:
Least Common Multiple of 15190 and 15195 = 46162410
Step 1: Find the prime factorization of 15190
15190 = 2 x 5 x 7 x 7 x 31
Step 2: Find the prime factorization of 15195
15195 = 3 x 5 x 1013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46162410 = 2 x 3 x 5 x 7 x 7 x 31 x 1013
Step 4: Therefore, the least common multiple of 15190 and 15195 is 46162410.