Least Common Multiple (LCM) of 146 and 121
The least common multiple (LCM) of 146 and 121 is 17666.
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 146 and 121?
First, calculate the GCD of 146 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 121 = 1 remainder 25 |
| 2 | 121 ÷ 25 = 4 remainder 21 |
| 3 | 25 ÷ 21 = 1 remainder 4 |
| 4 | 21 ÷ 4 = 5 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 148 | 15244 |
| 115 and 145 | 3335 |
| 135 and 91 | 12285 |
| 76 and 181 | 13756 |
| 75 and 10 | 150 |