Least Common Multiple (LCM) of 131 and 172
The least common multiple (LCM) of 131 and 172 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 131 and 172?
First, calculate the GCD of 131 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 172 = 0 remainder 131 |
| 2 | 172 ÷ 131 = 1 remainder 41 |
| 3 | 131 ÷ 41 = 3 remainder 8 |
| 4 | 41 ÷ 8 = 5 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 64 | 7360 |
| 140 and 159 | 22260 |
| 199 and 133 | 26467 |
| 47 and 154 | 7238 |
| 56 and 181 | 10136 |