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 |
|---|---|
| 77 and 164 | 12628 |
| 39 and 85 | 3315 |
| 191 and 55 | 10505 |
| 101 and 13 | 1313 |
| 49 and 135 | 6615 |