Least Common Multiple (LCM) of 68 and 160
The least common multiple (LCM) of 68 and 160 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 68 and 160?
First, calculate the GCD of 68 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 160 = 0 remainder 68 |
| 2 | 160 ÷ 68 = 2 remainder 24 |
| 3 | 68 ÷ 24 = 2 remainder 20 |
| 4 | 24 ÷ 20 = 1 remainder 4 |
| 5 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 17 | 1513 |
| 142 and 119 | 16898 |
| 94 and 20 | 940 |
| 52 and 188 | 2444 |
| 126 and 58 | 3654 |