Least Common Multiple of 99 and 107
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 99 and 107 the smallest integer that is 10593 that is divisible by both numbers.
Least Common Multiple (LCM) of 99 and 107 is 10593.
LCM(99,107) = 10593
LCM of 99 and 107
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 99 and 107 by Prime method
- Least Common Multiple of 99 and 107 with GCF Formula
LCM of 99 and 107 is 10593
Least common multiple can be found by multiplying the highest exponent prime factors of 99 and 107. First we will calculate the prime factors of 99 and 107.
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
Prime Factorization of 107
| 107 | 107 |
| 1 |
Prime factors of 107 are 107. Prime factorization of 107 in exponential form is:
107 = 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 99 and 107.
LCM(99,107) = 32×111×1071
LCM(99,107) = 10593
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1, 107
Least Common Multiple of 99 and 107 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99 and 107, than apply into the LCM equation.
GCF(99,107) = 1
LCM(99,107) = ( 99 × 107) / 1
LCM(99,107) = 10593 / 1
LCM(99,107) = 10593
Properties of LCM 99 and 107
(i) The LCM of 107 and 99 is associative
LCM of 99 and 107 = LCM of 107 and 99
Related Least Common Multiples of 99
Related Least Common Multiples of 107
Frequently Asked Questions on LCM of 99 and 107
1. What is the LCM of 99 and 107?
Answer: LCM of 99 and 107 is 10593.
2. 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.
3. What are the Factors of 107?
Answer: Factors of 107 are 1, 107. There are 2 integers that are factors of 107. The greatest factor of 107 is 107.
4. How to Find the LCM of 99 and 107?
Answer:
Least Common Multiple of 99 and 107 = 10593
Step 1: Find the prime factorization of 99
99 = 3 x 3 x 11
Step 2: Find the prime factorization of 107
107 = 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10593 = 3 x 3 x 11 x 107
Step 4: Therefore, the least common multiple of 99 and 107 is 10593.