Least Common Multiple of 3095 and 3103
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3095 and 3103 the smallest integer that is 9603785 that is divisible by both numbers.
Least Common Multiple (LCM) of 3095 and 3103 is 9603785.
LCM(3095,3103) = 9603785
LCM of 3095 and 3103
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3095 and 3103 by Prime method
- Least Common Multiple of 3095 and 3103 with GCF Formula
LCM of 3095 and 3103 is 9603785
Least common multiple can be found by multiplying the highest exponent prime factors of 3095 and 3103. First we will calculate the prime factors of 3095 and 3103.
Prime Factorization of 3095
| 5 | 3095 |
| 619 | 619 |
| 1 |
Prime factors of 3095 are 5,619. Prime factorization of 3095 in exponential form is:
3095 = 51×6191
Prime Factorization of 3103
| 29 | 3103 |
| 107 | 107 |
| 1 |
Prime factors of 3103 are 29,107. Prime factorization of 3103 in exponential form is:
3103 = 291×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 3095 and 3103.
LCM(3095,3103) = 51×291×1071×6191
LCM(3095,3103) = 9603785
Factors of 3095
List of positive integer factors of 3095 that divides 3095 without a remainder.
1, 5, 619, 3095
Factors of 3103
List of positive integer factors of 3103 that divides 3103 without a remainder.
1, 29, 107, 3103
Least Common Multiple of 3095 and 3103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3095 and 3103, than apply into the LCM equation.
GCF(3095,3103) = 1
LCM(3095,3103) = ( 3095 × 3103) / 1
LCM(3095,3103) = 9603785 / 1
LCM(3095,3103) = 9603785
Properties of LCM 3095 and 3103
(i) The LCM of 3103 and 3095 is associative
LCM of 3095 and 3103 = LCM of 3103 and 3095
Related Least Common Multiples of 3095
Related Least Common Multiples of 3103
Frequently Asked Questions on LCM of 3095 and 3103
1. What is the LCM of 3095 and 3103?
Answer: LCM of 3095 and 3103 is 9603785.
2. What are the Factors of 3095?
Answer: Factors of 3095 are 1, 5, 619, 3095. There are 4 integers that are factors of 3095. The greatest factor of 3095 is 3095.
3. What are the Factors of 3103?
Answer: Factors of 3103 are 1, 29, 107, 3103. There are 4 integers that are factors of 3103. The greatest factor of 3103 is 3103.
4. How to Find the LCM of 3095 and 3103?
Answer:
Least Common Multiple of 3095 and 3103 = 9603785
Step 1: Find the prime factorization of 3095
3095 = 5 x 619
Step 2: Find the prime factorization of 3103
3103 = 29 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9603785 = 5 x 29 x 107 x 619
Step 4: Therefore, the least common multiple of 3095 and 3103 is 9603785.