Least Common Multiple (LCM) of 160 and 171
The least common multiple (LCM) of 160 and 171 is 27360.
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 160 and 171?
First, calculate the GCD of 160 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 171 = 0 remainder 160 |
| 2 | 171 ÷ 160 = 1 remainder 11 |
| 3 | 160 ÷ 11 = 14 remainder 6 |
| 4 | 11 ÷ 6 = 1 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 153 | 30600 |
| 161 and 157 | 25277 |
| 30 and 69 | 690 |
| 70 and 193 | 13510 |
| 10 and 95 | 190 |