Least Common Multiple (LCM) of 160 and 25
The least common multiple (LCM) of 160 and 25 is 800.
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 25?
First, calculate the GCD of 160 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 25 = 6 remainder 10 |
| 2 | 25 ÷ 10 = 2 remainder 5 |
| 3 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 63 | 1008 |
| 167 and 189 | 31563 |
| 41 and 104 | 4264 |
| 196 and 42 | 588 |
| 191 and 14 | 2674 |