Least Common Multiple (LCM) of 25 and 169
The least common multiple (LCM) of 25 and 169 is 4225.
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 25 and 169?
First, calculate the GCD of 25 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 169 = 0 remainder 25 |
| 2 | 169 ÷ 25 = 6 remainder 19 |
| 3 | 25 ÷ 19 = 1 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 123 | 17220 |
| 193 and 86 | 16598 |
| 181 and 13 | 2353 |
| 180 and 44 | 1980 |
| 62 and 185 | 11470 |