Least Common Multiple (LCM) of 132 and 166
The least common multiple (LCM) of 132 and 166 is 10956.
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 132 and 166?
First, calculate the GCD of 132 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 166 = 0 remainder 132 |
| 2 | 166 ÷ 132 = 1 remainder 34 |
| 3 | 132 ÷ 34 = 3 remainder 30 |
| 4 | 34 ÷ 30 = 1 remainder 4 |
| 5 | 30 ÷ 4 = 7 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 106 | 742 |
| 78 and 70 | 2730 |
| 88 and 113 | 9944 |
| 184 and 135 | 24840 |
| 17 and 57 | 969 |