Least Common Multiple (LCM) of 49 and 171
The least common multiple (LCM) of 49 and 171 is 8379.
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 49 and 171?
First, calculate the GCD of 49 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 171 = 0 remainder 49 |
| 2 | 171 ÷ 49 = 3 remainder 24 |
| 3 | 49 ÷ 24 = 2 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 121 | 22264 |
| 160 and 168 | 3360 |
| 31 and 51 | 1581 |
| 87 and 199 | 17313 |
| 23 and 171 | 3933 |