Least Common Multiple (LCM) of 99 and 92
The least common multiple (LCM) of 99 and 92 is 9108.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 99 and 92?
First, calculate the GCD of 99 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 92 = 1 remainder 7 |
| 2 | 92 ÷ 7 = 13 remainder 1 |
| 3 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 77 | 14784 |
| 33 and 83 | 2739 |
| 22 and 196 | 2156 |
| 124 and 60 | 1860 |
| 135 and 47 | 6345 |