Least Common Multiple (LCM) of 26 and 160
The least common multiple (LCM) of 26 and 160 is 2080.
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 26 and 160?
First, calculate the GCD of 26 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 160 = 0 remainder 26 |
| 2 | 160 ÷ 26 = 6 remainder 4 |
| 3 | 26 ÷ 4 = 6 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 73 | 8249 |
| 115 and 89 | 10235 |
| 138 and 114 | 2622 |
| 138 and 185 | 25530 |
| 160 and 149 | 23840 |