Least Common Multiple (LCM) of 171 and 130
The least common multiple (LCM) of 171 and 130 is 22230.
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 171 and 130?
First, calculate the GCD of 171 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 130 = 1 remainder 41 |
| 2 | 130 ÷ 41 = 3 remainder 7 |
| 3 | 41 ÷ 7 = 5 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 104 | 14456 |
| 160 and 24 | 480 |
| 131 and 198 | 25938 |
| 12 and 37 | 444 |
| 116 and 199 | 23084 |