Least Common Multiple (LCM) of 100 and 132
The least common multiple (LCM) of 100 and 132 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 100 and 132?
First, calculate the GCD of 100 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 132 = 0 remainder 100 |
| 2 | 132 ÷ 100 = 1 remainder 32 |
| 3 | 100 ÷ 32 = 3 remainder 4 |
| 4 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 94 | 7050 |
| 195 and 117 | 585 |
| 42 and 176 | 3696 |
| 92 and 30 | 1380 |
| 197 and 12 | 2364 |