Least Common Multiple (LCM) of 163 and 172
The least common multiple (LCM) of 163 and 172 is 28036.
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 172?
First, calculate the GCD of 163 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 163 ÷ 172 = 0 remainder 163 |
| 2 | 172 ÷ 163 = 1 remainder 9 |
| 3 | 163 ÷ 9 = 18 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 171 | 3078 |
| 31 and 15 | 465 |
| 120 and 21 | 840 |
| 135 and 81 | 405 |
| 171 and 101 | 17271 |