Least Common Multiple (LCM) of 132 and 43
The least common multiple (LCM) of 132 and 43 is 5676.
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 43?
First, calculate the GCD of 132 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 43 = 3 remainder 3 |
| 2 | 43 ÷ 3 = 14 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 27 | 3051 |
| 200 and 102 | 10200 |
| 51 and 21 | 357 |
| 102 and 182 | 9282 |
| 138 and 31 | 4278 |