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 |
|---|---|
| 65 and 45 | 585 |
| 69 and 176 | 12144 |
| 146 and 137 | 20002 |
| 159 and 87 | 4611 |
| 99 and 100 | 9900 |