Least Common Multiple (LCM) of 163 and 147
The least common multiple (LCM) of 163 and 147 is 23961.
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 147?
First, calculate the GCD of 163 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 147 = 1 remainder 16 |
| 2 | 147 ÷ 16 = 9 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 133 | 1729 |
| 123 and 137 | 16851 |
| 160 and 144 | 1440 |
| 104 and 34 | 1768 |
| 90 and 155 | 2790 |