Least Common Multiple (LCM) of 46 and 160
The least common multiple (LCM) of 46 and 160 is 3680.
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 46 and 160?
First, calculate the GCD of 46 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 160 = 0 remainder 46 |
| 2 | 160 ÷ 46 = 3 remainder 22 |
| 3 | 46 ÷ 22 = 2 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 155 | 29295 |
| 198 and 156 | 5148 |
| 42 and 82 | 1722 |
| 105 and 109 | 11445 |
| 35 and 164 | 5740 |