Least Common Multiple (LCM) of 27 and 166
The least common multiple (LCM) of 27 and 166 is 4482.
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 27 and 166?
First, calculate the GCD of 27 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 27 ÷ 166 = 0 remainder 27 |
| 2 | 166 ÷ 27 = 6 remainder 4 |
| 3 | 27 ÷ 4 = 6 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 165 | 8580 |
| 40 and 137 | 5480 |
| 107 and 136 | 14552 |
| 147 and 89 | 13083 |
| 143 and 140 | 20020 |