Least Common Multiple of 93 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 93 and 99 the smallest integer that is 3069 that is divisible by both numbers.
Least Common Multiple (LCM) of 93 and 99 is 3069.
LCM(93,99) = 3069
LCM of 93 and 99
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 93 and 99 by Prime method
- Least Common Multiple of 93 and 99 with GCF Formula
LCM of 93 and 99 is 3069
Least common multiple can be found by multiplying the highest exponent prime factors of 93 and 99. First we will calculate the prime factors of 93 and 99.
Prime Factorization of 93
| 3 | 93 |
| 31 | 31 |
| 1 |
Prime factors of 93 are 3,31. Prime factorization of 93 in exponential form is:
93 = 31×311
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 93 and 99.
LCM(93,99) = 32×111×311
LCM(93,99) = 3069
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1, 3, 31, 93
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 93 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 93 and 99, than apply into the LCM equation.
GCF(93,99) = 3
LCM(93,99) = ( 93 × 99) / 3
LCM(93,99) = 9207 / 3
LCM(93,99) = 3069
Properties of LCM 93 and 99
(i) The LCM of 99 and 93 is associative
LCM of 93 and 99 = LCM of 99 and 93
Related Least Common Multiples of 93
Related Least Common Multiples of 99
Frequently Asked Questions on LCM of 93 and 99
1. What is the LCM of 93 and 99?
Answer: LCM of 93 and 99 is 3069.
2. What are the Factors of 93?
Answer: Factors of 93 are 1, 3, 31, 93. There are 4 integers that are factors of 93. The greatest factor of 93 is 93.
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 93 and 99?
Answer:
Least Common Multiple of 93 and 99 = 3069
Step 1: Find the prime factorization of 93
93 = 3 x 31
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 = 3069 = 3 x 3 x 11 x 31
Step 4: Therefore, the least common multiple of 93 and 99 is 3069.
