Least Common Multiple (LCM) of 132 and 99
The least common multiple (LCM) of 132 and 99 is 396.
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 132 and 99?
First, calculate the GCD of 132 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 99 = 1 remainder 33 |
| 2 | 99 ÷ 33 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 57 | 8778 |
| 82 and 173 | 14186 |
| 189 and 78 | 4914 |
| 60 and 70 | 420 |
| 162 and 49 | 7938 |