Least Common Multiple (LCM) of 163 and 179
The least common multiple (LCM) of 163 and 179 is 29177.
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 179?
First, calculate the GCD of 163 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 179 = 0 remainder 163 |
| 2 | 179 ÷ 163 = 1 remainder 16 |
| 3 | 163 ÷ 16 = 10 remainder 3 |
| 4 | 16 ÷ 3 = 5 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 48 | 240 |
| 151 and 116 | 17516 |
| 83 and 187 | 15521 |
| 17 and 85 | 85 |
| 43 and 11 | 473 |