Least Common Multiple (LCM) of 132 and 38
The least common multiple (LCM) of 132 and 38 is 2508.
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 38?
First, calculate the GCD of 132 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 38 = 3 remainder 18 |
| 2 | 38 ÷ 18 = 2 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 128 | 15744 |
| 31 and 90 | 2790 |
| 17 and 82 | 1394 |
| 78 and 136 | 5304 |
| 97 and 111 | 10767 |