Least Common Multiple of 99 and 101
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 101 the smallest integer that is 9999 that is divisible by both numbers.
Least Common Multiple (LCM) of 99 and 101 is 9999.
LCM(99,101) = 9999
LCM of 99 and 101
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 99 and 101 by Prime method
- Least Common Multiple of 99 and 101 with GCF Formula
LCM of 99 and 101 is 9999
Least common multiple can be found by multiplying the highest exponent prime factors of 99 and 101. First we will calculate the prime factors of 99 and 101.
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 101
| 101 | 101 |
| 1 |
Prime factors of 101 are 101. Prime factorization of 101 in exponential form is:
101 = 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 99 and 101.
LCM(99,101) = 32×111×1011
LCM(99,101) = 9999
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1, 101
Least Common Multiple of 99 and 101 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 101, than apply into the LCM equation.
GCF(99,101) = 1
LCM(99,101) = ( 99 × 101) / 1
LCM(99,101) = 9999 / 1
LCM(99,101) = 9999
Properties of LCM 99 and 101
(i) The LCM of 101 and 99 is associative
LCM of 99 and 101 = LCM of 101 and 99
Related Least Common Multiples of 99
Related Least Common Multiples of 101
Frequently Asked Questions on LCM of 99 and 101
1. What is the LCM of 99 and 101?
Answer: LCM of 99 and 101 is 9999.
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 101?
Answer: Factors of 101 are 1, 101. There are 2 integers that are factors of 101. The greatest factor of 101 is 101.
4. How to Find the LCM of 99 and 101?
Answer:
Least Common Multiple of 99 and 101 = 9999
Step 1: Find the prime factorization of 99
99 = 3 x 3 x 11
Step 2: Find the prime factorization of 101
101 = 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9999 = 3 x 3 x 11 x 101
Step 4: Therefore, the least common multiple of 99 and 101 is 9999.