Least Common Multiple (LCM) of 145 and 161
The least common multiple (LCM) of 145 and 161 is 23345.
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 161?
First, calculate the GCD of 145 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 161 = 0 remainder 145 |
| 2 | 161 ÷ 145 = 1 remainder 16 |
| 3 | 145 ÷ 16 = 9 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 124 | 744 |
| 105 and 145 | 3045 |
| 17 and 38 | 646 |
| 192 and 28 | 1344 |
| 169 and 193 | 32617 |