Least Common Multiple (LCM) of 160 and 159
The least common multiple (LCM) of 160 and 159 is 25440.
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 159?
First, calculate the GCD of 160 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 159 = 1 remainder 1 |
| 2 | 159 ÷ 1 = 159 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 73 | 3723 |
| 138 and 186 | 4278 |
| 37 and 13 | 481 |
| 194 and 91 | 17654 |
| 78 and 46 | 1794 |