Least Common Multiple (LCM) of 163 and 132
The least common multiple (LCM) of 163 and 132 is 21516.
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 163 and 132?
First, calculate the GCD of 163 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 132 = 1 remainder 31 |
| 2 | 132 ÷ 31 = 4 remainder 8 |
| 3 | 31 ÷ 8 = 3 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 133 | 25403 |
| 15 and 157 | 2355 |
| 114 and 90 | 1710 |
| 14 and 185 | 2590 |
| 134 and 16 | 1072 |