Least Common Multiple (LCM) of 171 and 140
The least common multiple (LCM) of 171 and 140 is 23940.
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 140?
First, calculate the GCD of 171 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 140 = 1 remainder 31 |
| 2 | 140 ÷ 31 = 4 remainder 16 |
| 3 | 31 ÷ 16 = 1 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 49 | 9065 |
| 125 and 114 | 14250 |
| 175 and 39 | 6825 |
| 39 and 132 | 1716 |
| 85 and 69 | 5865 |