Least Common Multiple (LCM) of 171 and 79
The least common multiple (LCM) of 171 and 79 is 13509.
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 79?
First, calculate the GCD of 171 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 79 = 2 remainder 13 |
| 2 | 79 ÷ 13 = 6 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 130 | 8320 |
| 120 and 12 | 120 |
| 26 and 51 | 1326 |
| 38 and 160 | 3040 |
| 108 and 16 | 432 |