Least Common Multiple of 95 and 99
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 99 the smallest integer that is 9405 that is divisible by both numbers.
Least Common Multiple (LCM) of 95 and 99 is 9405.
LCM(95,99) = 9405
LCM of 95 and 99
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 95 and 99 by Prime method
- Least Common Multiple of 95 and 99 with GCF Formula
LCM of 95 and 99 is 9405
Least common multiple can be found by multiplying the highest exponent prime factors of 95 and 99. First we will calculate the prime factors of 95 and 99.
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 99
| 3 | 99 |
| 3 | 33 |
| 11 | 11 |
| 1 |
Prime factors of 99 are 3,11. Prime factorization of 99 in exponential form is:
99 = 32×111
Now multiplying the highest exponent prime factors to calculate the LCM of 95 and 99.
LCM(95,99) = 32×51×111×191
LCM(95,99) = 9405
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Least Common Multiple of 95 and 99 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 99, than apply into the LCM equation.
GCF(95,99) = 1
LCM(95,99) = ( 95 × 99) / 1
LCM(95,99) = 9405 / 1
LCM(95,99) = 9405
Properties of LCM 95 and 99
(i) The LCM of 99 and 95 is associative
LCM of 95 and 99 = LCM of 99 and 95
Related Least Common Multiples of 95
Related Least Common Multiples of 99
Frequently Asked Questions on LCM of 95 and 99
1. What is the LCM of 95 and 99?
Answer: LCM of 95 and 99 is 9405.
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 99?
Answer: Factors of 99 are 1, 3, 9, 11, 33, 99. There are 6 integers that are factors of 99. The greatest factor of 99 is 99.
4. How to Find the LCM of 95 and 99?
Answer:
Least Common Multiple of 95 and 99 = 9405
Step 1: Find the prime factorization of 95
95 = 5 x 19
Step 2: Find the prime factorization of 99
99 = 3 x 3 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9405 = 3 x 3 x 5 x 11 x 19
Step 4: Therefore, the least common multiple of 95 and 99 is 9405.