Least Common Multiple (LCM) of 132 and 25
The least common multiple (LCM) of 132 and 25 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 25?
First, calculate the GCD of 132 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 25 = 5 remainder 7 |
| 2 | 25 ÷ 7 = 3 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 23 | 3289 |
| 10 and 149 | 1490 |
| 180 and 166 | 14940 |
| 193 and 119 | 22967 |
| 189 and 176 | 33264 |