Least Common Multiple of 84 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 84 and 95 the smallest integer that is 7980 that is divisible by both numbers.
Least Common Multiple (LCM) of 84 and 95 is 7980.
LCM(84,95) = 7980
LCM of 84 and 95
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 84 and 95 by Prime method
- Least Common Multiple of 84 and 95 with GCF Formula
LCM of 84 and 95 is 7980
Least common multiple can be found by multiplying the highest exponent prime factors of 84 and 95. First we will calculate the prime factors of 84 and 95.
Prime Factorization of 84
| 2 | 84 |
| 2 | 42 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 84 are 2, 3,7. Prime factorization of 84 in exponential form is:
84 = 22×31×71
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 84 and 95.
LCM(84,95) = 22×31×51×71×191
LCM(84,95) = 7980
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Least Common Multiple of 84 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 84 and 95, than apply into the LCM equation.
GCF(84,95) = 1
LCM(84,95) = ( 84 × 95) / 1
LCM(84,95) = 7980 / 1
LCM(84,95) = 7980
Properties of LCM 84 and 95
(i) The LCM of 95 and 84 is associative
LCM of 84 and 95 = LCM of 95 and 84
Related Least Common Multiples of 84
Related Least Common Multiples of 95
Frequently Asked Questions on LCM of 84 and 95
1. What is the LCM of 84 and 95?
Answer: LCM of 84 and 95 is 7980.
2. What are the Factors of 84?
Answer: Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. There are 12 integers that are factors of 84. The greatest factor of 84 is 84.
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 84 and 95?
Answer:
Least Common Multiple of 84 and 95 = 7980
Step 1: Find the prime factorization of 84
84 = 2 x 2 x 3 x 7
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 = 7980 = 2 x 2 x 3 x 5 x 7 x 19
Step 4: Therefore, the least common multiple of 84 and 95 is 7980.
