Least Common Multiple (LCM) of 146 and 160
The least common multiple (LCM) of 146 and 160 is 11680.
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 146 and 160?
First, calculate the GCD of 146 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 160 = 0 remainder 146 |
| 2 | 160 ÷ 146 = 1 remainder 14 |
| 3 | 146 ÷ 14 = 10 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 62 | 186 |
| 105 and 134 | 14070 |
| 32 and 100 | 800 |
| 149 and 171 | 25479 |
| 32 and 118 | 1888 |