Least Common Multiple of 95 and 103
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 95 and 103 the smallest integer that is 9785 that is divisible by both numbers.
Least Common Multiple (LCM) of 95 and 103 is 9785.
LCM(95,103) = 9785
LCM of 95 and 103
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 95 and 103 by Prime method
- Least Common Multiple of 95 and 103 with GCF Formula
LCM of 95 and 103 is 9785
Least common multiple can be found by multiplying the highest exponent prime factors of 95 and 103. First we will calculate the prime factors of 95 and 103.
Prime Factorization of 95
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 95 are 5,19. Prime factorization of 95 in exponential form is:
95 = 51×191
Prime Factorization of 103
| 103 | 103 |
| 1 |
Prime factors of 103 are 103. Prime factorization of 103 in exponential form is:
103 = 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 95 and 103.
LCM(95,103) = 51×191×1031
LCM(95,103) = 9785
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1, 103
Least Common Multiple of 95 and 103 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95 and 103, than apply into the LCM equation.
GCF(95,103) = 1
LCM(95,103) = ( 95 × 103) / 1
LCM(95,103) = 9785 / 1
LCM(95,103) = 9785
Properties of LCM 95 and 103
(i) The LCM of 103 and 95 is associative
LCM of 95 and 103 = LCM of 103 and 95
Related Least Common Multiples of 95
Related Least Common Multiples of 103
Frequently Asked Questions on LCM of 95 and 103
1. What is the LCM of 95 and 103?
Answer: LCM of 95 and 103 is 9785.
2. What are the Factors of 95?
Answer: Factors of 95 are 1, 5, 19, 95. There are 4 integers that are factors of 95. The greatest factor of 95 is 95.
3. What are the Factors of 103?
Answer: Factors of 103 are 1, 103. There are 2 integers that are factors of 103. The greatest factor of 103 is 103.
4. How to Find the LCM of 95 and 103?
Answer:
Least Common Multiple of 95 and 103 = 9785
Step 1: Find the prime factorization of 95
95 = 5 x 19
Step 2: Find the prime factorization of 103
103 = 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9785 = 5 x 19 x 103
Step 4: Therefore, the least common multiple of 95 and 103 is 9785.