Least Common Multiple (LCM) of 145 and 169
The least common multiple (LCM) of 145 and 169 is 24505.
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 145 and 169?
First, calculate the GCD of 145 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 169 = 0 remainder 145 |
| 2 | 169 ÷ 145 = 1 remainder 24 |
| 3 | 145 ÷ 24 = 6 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 53 | 9275 |
| 38 and 11 | 418 |
| 171 and 59 | 10089 |
| 35 and 16 | 560 |
| 17 and 185 | 3145 |