Least Common Multiple (LCM) of 26 and 169
The least common multiple (LCM) of 26 and 169 is 338.
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 169?
First, calculate the GCD of 26 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 169 = 0 remainder 26 |
| 2 | 169 ÷ 26 = 6 remainder 13 |
| 3 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 94 | 4982 |
| 194 and 56 | 5432 |
| 185 and 25 | 925 |
| 110 and 74 | 4070 |
| 102 and 100 | 5100 |