Least Common Multiple of 90 and 95
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 90 and 95 the smallest integer that is 1710 that is divisible by both numbers.
Least Common Multiple (LCM) of 90 and 95 is 1710.
LCM(90,95) = 1710
LCM of 90 and 95
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 90 and 95 by Prime method
- Least Common Multiple of 90 and 95 with GCF Formula
LCM of 90 and 95 is 1710
Least common multiple can be found by multiplying the highest exponent prime factors of 90 and 95. First we will calculate the prime factors of 90 and 95.
Prime Factorization of 90
| 2 | 90 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
Prime factors of 90 are 2, 3,5. Prime factorization of 90 in exponential form is:
90 = 21×32×51
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
Now multiplying the highest exponent prime factors to calculate the LCM of 90 and 95.
LCM(90,95) = 21×32×51×191
LCM(90,95) = 1710
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Least Common Multiple of 90 and 95 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90 and 95, than apply into the LCM equation.
GCF(90,95) = 5
LCM(90,95) = ( 90 × 95) / 5
LCM(90,95) = 8550 / 5
LCM(90,95) = 1710
Properties of LCM 90 and 95
(i) The LCM of 95 and 90 is associative
LCM of 90 and 95 = LCM of 95 and 90
Related Least Common Multiples of 90
Related Least Common Multiples of 95
Frequently Asked Questions on LCM of 90 and 95
1. What is the LCM of 90 and 95?
Answer: LCM of 90 and 95 is 1710.
2. What are the Factors of 90?
Answer: Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. There are 12 integers that are factors of 90. The greatest factor of 90 is 90.
3. 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.
4. How to Find the LCM of 90 and 95?
Answer:
Least Common Multiple of 90 and 95 = 1710
Step 1: Find the prime factorization of 90
90 = 2 x 3 x 3 x 5
Step 2: Find the prime factorization of 95
95 = 5 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1710 = 2 x 3 x 3 x 5 x 19
Step 4: Therefore, the least common multiple of 90 and 95 is 1710.
