Least Common Multiple (LCM) of 121 and 146
The least common multiple (LCM) of 121 and 146 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 121 and 146?
First, calculate the GCD of 121 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 146 = 0 remainder 121 |
| 2 | 146 ÷ 121 = 1 remainder 25 |
| 3 | 121 ÷ 25 = 4 remainder 21 |
| 4 | 25 ÷ 21 = 1 remainder 4 |
| 5 | 21 ÷ 4 = 5 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 54 | 1026 |
| 66 and 121 | 726 |
| 42 and 134 | 2814 |
| 158 and 193 | 30494 |
| 118 and 199 | 23482 |