Least Common Multiple (LCM) of 132 and 159
The least common multiple (LCM) of 132 and 159 is 6996.
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 159?
First, calculate the GCD of 132 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 159 = 0 remainder 132 |
| 2 | 159 ÷ 132 = 1 remainder 27 |
| 3 | 132 ÷ 27 = 4 remainder 24 |
| 4 | 27 ÷ 24 = 1 remainder 3 |
| 5 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 172 | 19436 |
| 187 and 197 | 36839 |
| 31 and 98 | 3038 |
| 55 and 83 | 4565 |
| 176 and 87 | 15312 |