Least Common Multiple (LCM) of 160 and 68
The least common multiple (LCM) of 160 and 68 is 2720.
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 68?
First, calculate the GCD of 160 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 68 = 2 remainder 24 |
| 2 | 68 ÷ 24 = 2 remainder 20 |
| 3 | 24 ÷ 20 = 1 remainder 4 |
| 4 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 52 | 10244 |
| 122 and 23 | 2806 |
| 188 and 106 | 9964 |
| 77 and 162 | 12474 |
| 195 and 104 | 1560 |