Least Common Multiple (LCM) of 163 and 133
The least common multiple (LCM) of 163 and 133 is 21679.
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 133?
First, calculate the GCD of 163 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 133 = 1 remainder 30 |
| 2 | 133 ÷ 30 = 4 remainder 13 |
| 3 | 30 ÷ 13 = 2 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 98 | 7742 |
| 104 and 179 | 18616 |
| 93 and 106 | 9858 |
| 200 and 70 | 1400 |
| 40 and 140 | 280 |