Least Common Multiple (LCM) of 156 and 171
The least common multiple (LCM) of 156 and 171 is 8892.
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 156 and 171?
First, calculate the GCD of 156 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 171 = 0 remainder 156 |
| 2 | 171 ÷ 156 = 1 remainder 15 |
| 3 | 156 ÷ 15 = 10 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 157 | 4867 |
| 116 and 66 | 3828 |
| 16 and 83 | 1328 |
| 52 and 104 | 104 |
| 30 and 21 | 210 |