Least Common Multiple (LCM) of 132 and 36
The least common multiple (LCM) of 132 and 36 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 36?
First, calculate the GCD of 132 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 36 = 3 remainder 24 |
| 2 | 36 ÷ 24 = 1 remainder 12 |
| 3 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 98 | 9800 |
| 160 and 42 | 3360 |
| 124 and 86 | 5332 |
| 39 and 119 | 4641 |
| 172 and 63 | 10836 |