Least Common Multiple (LCM) of 147 and 163
The least common multiple (LCM) of 147 and 163 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 147 and 163?
First, calculate the GCD of 147 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 163 = 0 remainder 147 |
| 2 | 163 ÷ 147 = 1 remainder 16 |
| 3 | 147 ÷ 16 = 9 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 173 and 45 | 7785 |
| 149 and 84 | 12516 |
| 62 and 31 | 62 |
| 109 and 41 | 4469 |
| 127 and 15 | 1905 |