Least Common Multiple of 91 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 91 and 99 the smallest integer that is 9009 that is divisible by both numbers.
Least Common Multiple (LCM) of 91 and 99 is 9009.
LCM(91,99) = 9009
LCM of 91 and 99
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 91 and 99 by Prime method
- Least Common Multiple of 91 and 99 with GCF Formula
LCM of 91 and 99 is 9009
Least common multiple can be found by multiplying the highest exponent prime factors of 91 and 99. First we will calculate the prime factors of 91 and 99.
Prime Factorization of 91
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 91 are 7,13. Prime factorization of 91 in exponential form is:
91 = 71×131
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 91 and 99.
LCM(91,99) = 32×71×111×131
LCM(91,99) = 9009
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1, 7, 13, 91
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 91 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 91 and 99, than apply into the LCM equation.
GCF(91,99) = 1
LCM(91,99) = ( 91 × 99) / 1
LCM(91,99) = 9009 / 1
LCM(91,99) = 9009
Properties of LCM 91 and 99
(i) The LCM of 99 and 91 is associative
LCM of 91 and 99 = LCM of 99 and 91
Related Least Common Multiples of 91
Related Least Common Multiples of 99
Frequently Asked Questions on LCM of 91 and 99
1. What is the LCM of 91 and 99?
Answer: LCM of 91 and 99 is 9009.
2. What are the Factors of 91?
Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.
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 91 and 99?
Answer:
Least Common Multiple of 91 and 99 = 9009
Step 1: Find the prime factorization of 91
91 = 7 x 13
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 = 9009 = 3 x 3 x 7 x 11 x 13
Step 4: Therefore, the least common multiple of 91 and 99 is 9009.
