Least Common Multiple (LCM) of 132 and 100
The least common multiple (LCM) of 132 and 100 is 3300.
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 100?
First, calculate the GCD of 132 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 100 = 1 remainder 32 |
| 2 | 100 ÷ 32 = 3 remainder 4 |
| 3 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 23 | 2691 |
| 101 and 104 | 10504 |
| 198 and 84 | 2772 |
| 114 and 168 | 3192 |
| 77 and 16 | 1232 |