Least Common Multiple (LCM) of 171 and 157
The least common multiple (LCM) of 171 and 157 is 26847.
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 157?
First, calculate the GCD of 171 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 157 = 1 remainder 14 |
| 2 | 157 ÷ 14 = 11 remainder 3 |
| 3 | 14 ÷ 3 = 4 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 70 | 11130 |
| 54 and 19 | 1026 |
| 100 and 32 | 800 |
| 142 and 140 | 9940 |
| 71 and 48 | 3408 |