Least Common Multiple (LCM) of 132 and 46
The least common multiple (LCM) of 132 and 46 is 3036.
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 46?
First, calculate the GCD of 132 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 46 = 2 remainder 40 |
| 2 | 46 ÷ 40 = 1 remainder 6 |
| 3 | 40 ÷ 6 = 6 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 195 | 195 |
| 64 and 132 | 2112 |
| 76 and 50 | 1900 |
| 149 and 33 | 4917 |
| 162 and 103 | 16686 |