Least Common Multiple (LCM) of 99 and 22
The least common multiple (LCM) of 99 and 22 is 198.
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 22?
First, calculate the GCD of 99 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 22 = 4 remainder 11 |
| 2 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 152 | 17784 |
| 155 and 131 | 20305 |
| 186 and 38 | 3534 |
| 197 and 181 | 35657 |
| 158 and 124 | 9796 |