Least Common Multiple (LCM) of 29 and 163
The least common multiple (LCM) of 29 and 163 is 4727.
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 29 and 163?
First, calculate the GCD of 29 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 163 = 0 remainder 29 |
| 2 | 163 ÷ 29 = 5 remainder 18 |
| 3 | 29 ÷ 18 = 1 remainder 11 |
| 4 | 18 ÷ 11 = 1 remainder 7 |
| 5 | 11 ÷ 7 = 1 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 151 | 9060 |
| 179 and 99 | 17721 |
| 111 and 131 | 14541 |
| 190 and 163 | 30970 |
| 169 and 14 | 2366 |