Least Common Multiple (LCM) of 166 and 123
The least common multiple (LCM) of 166 and 123 is 20418.
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 166 and 123?
First, calculate the GCD of 166 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 123 = 1 remainder 43 |
| 2 | 123 ÷ 43 = 2 remainder 37 |
| 3 | 43 ÷ 37 = 1 remainder 6 |
| 4 | 37 ÷ 6 = 6 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 170 | 10880 |
| 89 and 37 | 3293 |
| 172 and 98 | 8428 |
| 113 and 93 | 10509 |
| 98 and 129 | 12642 |