Least Common Multiple (LCM) of 121 and 145
The least common multiple (LCM) of 121 and 145 is 17545.
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 121 and 145?
First, calculate the GCD of 121 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 145 = 0 remainder 121 |
| 2 | 145 ÷ 121 = 1 remainder 24 |
| 3 | 121 ÷ 24 = 5 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 194 | 10864 |
| 42 and 199 | 8358 |
| 31 and 129 | 3999 |
| 16 and 191 | 3056 |
| 174 and 18 | 522 |