Least Common Multiple (LCM) of 132 and 164
The least common multiple (LCM) of 132 and 164 is 5412.
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 164?
First, calculate the GCD of 132 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 164 = 0 remainder 132 |
| 2 | 164 ÷ 132 = 1 remainder 32 |
| 3 | 132 ÷ 32 = 4 remainder 4 |
| 4 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 43 | 4343 |
| 155 and 106 | 16430 |
| 100 and 80 | 400 |
| 71 and 122 | 8662 |
| 53 and 196 | 10388 |