Least Common Multiple of 95 and 100
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 100 the smallest integer that is 1900 that is divisible by both numbers.
Least Common Multiple (LCM) of 95 and 100 is 1900.
LCM(95,100) = 1900
LCM of 95 and 100
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 95 and 100 by Prime method
- Least Common Multiple of 95 and 100 with GCF Formula
LCM of 95 and 100 is 1900
Least common multiple can be found by multiplying the highest exponent prime factors of 95 and 100. First we will calculate the prime factors of 95 and 100.
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 100
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 100 are 2,5. Prime factorization of 100 in exponential form is:
100 = 22×52
Now multiplying the highest exponent prime factors to calculate the LCM of 95 and 100.
LCM(95,100) = 22×52×191
LCM(95,100) = 1900
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Least Common Multiple of 95 and 100 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 100, than apply into the LCM equation.
GCF(95,100) = 5
LCM(95,100) = ( 95 × 100) / 5
LCM(95,100) = 9500 / 5
LCM(95,100) = 1900
Properties of LCM 95 and 100
(i) The LCM of 100 and 95 is associative
LCM of 95 and 100 = LCM of 100 and 95
Related Least Common Multiples of 95
Related Least Common Multiples of 100
Frequently Asked Questions on LCM of 95 and 100
1. What is the LCM of 95 and 100?
Answer: LCM of 95 and 100 is 1900.
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 100?
Answer: Factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. There are 9 integers that are factors of 100. The greatest factor of 100 is 100.
4. How to Find the LCM of 95 and 100?
Answer:
Least Common Multiple of 95 and 100 = 1900
Step 1: Find the prime factorization of 95
95 = 5 x 19
Step 2: Find the prime factorization of 100
100 = 2 x 2 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1900 = 2 x 2 x 5 x 5 x 19
Step 4: Therefore, the least common multiple of 95 and 100 is 1900.