Least Common Multiple of 86 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 86 and 99 the smallest integer that is 8514 that is divisible by both numbers.
Least Common Multiple (LCM) of 86 and 99 is 8514.
LCM(86,99) = 8514
LCM of 86 and 99
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 86 and 99 by Prime method
- Least Common Multiple of 86 and 99 with GCF Formula
LCM of 86 and 99 is 8514
Least common multiple can be found by multiplying the highest exponent prime factors of 86 and 99. First we will calculate the prime factors of 86 and 99.
Prime Factorization of 86
| 2 | 86 |
| 43 | 43 |
| 1 |
Prime factors of 86 are 2,43. Prime factorization of 86 in exponential form is:
86 = 21×431
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 86 and 99.
LCM(86,99) = 21×32×111×431
LCM(86,99) = 8514
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1, 2, 43, 86
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 86 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 86 and 99, than apply into the LCM equation.
GCF(86,99) = 1
LCM(86,99) = ( 86 × 99) / 1
LCM(86,99) = 8514 / 1
LCM(86,99) = 8514
Properties of LCM 86 and 99
(i) The LCM of 99 and 86 is associative
LCM of 86 and 99 = LCM of 99 and 86
Related Least Common Multiples of 86
Related Least Common Multiples of 99
Frequently Asked Questions on LCM of 86 and 99
1. What is the LCM of 86 and 99?
Answer: LCM of 86 and 99 is 8514.
2. What are the Factors of 86?
Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.
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 86 and 99?
Answer:
Least Common Multiple of 86 and 99 = 8514
Step 1: Find the prime factorization of 86
86 = 2 x 43
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 = 8514 = 2 x 3 x 3 x 11 x 43
Step 4: Therefore, the least common multiple of 86 and 99 is 8514.
