Least Common Multiple (LCM) of 145 and 121
The least common multiple (LCM) of 145 and 121 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 145 and 121?
First, calculate the GCD of 145 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 121 = 1 remainder 24 |
| 2 | 121 ÷ 24 = 5 remainder 1 |
| 3 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 54 | 378 |
| 106 and 120 | 6360 |
| 60 and 109 | 6540 |
| 81 and 192 | 5184 |
| 178 and 107 | 19046 |