Least Common Multiple (LCM) of 172 and 131
The least common multiple (LCM) of 172 and 131 is 22532.
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 172 and 131?
First, calculate the GCD of 172 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 131 = 1 remainder 41 |
| 2 | 131 ÷ 41 = 3 remainder 8 |
| 3 | 41 ÷ 8 = 5 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 85 | 15215 |
| 18 and 82 | 738 |
| 99 and 69 | 2277 |
| 19 and 13 | 247 |
| 109 and 44 | 4796 |