Least Common Multiple (LCM) of 28 and 166
The least common multiple (LCM) of 28 and 166 is 2324.
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 28 and 166?
First, calculate the GCD of 28 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 166 = 0 remainder 28 |
| 2 | 166 ÷ 28 = 5 remainder 26 |
| 3 | 28 ÷ 26 = 1 remainder 2 |
| 4 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 87 | 8700 |
| 162 and 93 | 5022 |
| 112 and 88 | 1232 |
| 154 and 78 | 6006 |
| 166 and 141 | 23406 |