Least Common Multiple (LCM) of 122 and 166
The least common multiple (LCM) of 122 and 166 is 10126.
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 166?
First, calculate the GCD of 122 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 166 = 0 remainder 122 |
| 2 | 166 ÷ 122 = 1 remainder 44 |
| 3 | 122 ÷ 44 = 2 remainder 34 |
| 4 | 44 ÷ 34 = 1 remainder 10 |
| 5 | 34 ÷ 10 = 3 remainder 4 |
| 6 | 10 ÷ 4 = 2 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 70 | 4270 |
| 59 and 89 | 5251 |
| 46 and 114 | 2622 |
| 48 and 177 | 2832 |
| 180 and 128 | 5760 |