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 |
|---|---|
| 80 and 142 | 5680 |
| 138 and 133 | 18354 |
| 78 and 41 | 3198 |
| 157 and 42 | 6594 |
| 118 and 167 | 19706 |