Least Common Multiple (LCM) of 131 and 173
The least common multiple (LCM) of 131 and 173 is 22663.
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 173?
First, calculate the GCD of 131 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 173 = 0 remainder 131 |
| 2 | 173 ÷ 131 = 1 remainder 42 |
| 3 | 131 ÷ 42 = 3 remainder 5 |
| 4 | 42 ÷ 5 = 8 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 23 | 690 |
| 83 and 129 | 10707 |
| 73 and 27 | 1971 |
| 115 and 15 | 345 |
| 193 and 70 | 13510 |