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 |
|---|---|
| 79 and 121 | 9559 |
| 12 and 44 | 132 |
| 155 and 114 | 17670 |
| 194 and 16 | 1552 |
| 80 and 80 | 80 |