Least Common Multiple (LCM) of 122 and 146
The least common multiple (LCM) of 122 and 146 is 8906.
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 122 and 146?
First, calculate the GCD of 122 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 146 = 0 remainder 122 |
| 2 | 146 ÷ 122 = 1 remainder 24 |
| 3 | 122 ÷ 24 = 5 remainder 2 |
| 4 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 51 | 1479 |
| 87 and 14 | 1218 |
| 182 and 160 | 14560 |
| 154 and 14 | 154 |
| 78 and 144 | 1872 |