Least Common Multiple (LCM) of 24 and 166
The least common multiple (LCM) of 24 and 166 is 1992.
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 24 and 166?
First, calculate the GCD of 24 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 166 = 0 remainder 24 |
| 2 | 166 ÷ 24 = 6 remainder 22 |
| 3 | 24 ÷ 22 = 1 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 32 | 1760 |
| 128 and 121 | 15488 |
| 155 and 133 | 20615 |
| 149 and 105 | 15645 |
| 184 and 13 | 2392 |