Least Common Multiple of 92 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 92 and 99 the smallest integer that is 9108 that is divisible by both numbers.
Least Common Multiple (LCM) of 92 and 99 is 9108.
LCM(92,99) = 9108
LCM of 92 and 99
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 92 and 99 by Prime method
- Least Common Multiple of 92 and 99 with GCF Formula
LCM of 92 and 99 is 9108
Least common multiple can be found by multiplying the highest exponent prime factors of 92 and 99. First we will calculate the prime factors of 92 and 99.
Prime Factorization of 92
| 2 | 92 |
| 2 | 46 |
| 23 | 23 |
| 1 |
Prime factors of 92 are 2,23. Prime factorization of 92 in exponential form is:
92 = 22×231
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 92 and 99.
LCM(92,99) = 22×32×111×231
LCM(92,99) = 9108
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
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 92 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 92 and 99, than apply into the LCM equation.
GCF(92,99) = 1
LCM(92,99) = ( 92 × 99) / 1
LCM(92,99) = 9108 / 1
LCM(92,99) = 9108
Properties of LCM 92 and 99
(i) The LCM of 99 and 92 is associative
LCM of 92 and 99 = LCM of 99 and 92
Related Least Common Multiples of 92
Related Least Common Multiples of 99
Frequently Asked Questions on LCM of 92 and 99
1. What is the LCM of 92 and 99?
Answer: LCM of 92 and 99 is 9108.
2. What are the Factors of 92?
Answer: Factors of 92 are 1, 2, 4, 23, 46, 92. There are 6 integers that are factors of 92. The greatest factor of 92 is 92.
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 92 and 99?
Answer:
Least Common Multiple of 92 and 99 = 9108
Step 1: Find the prime factorization of 92
92 = 2 x 2 x 23
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 = 9108 = 2 x 2 x 3 x 3 x 11 x 23
Step 4: Therefore, the least common multiple of 92 and 99 is 9108.
