Least Common Multiple (LCM) of 13 and 166
The least common multiple (LCM) of 13 and 166 is 2158.
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 13 and 166?
First, calculate the GCD of 13 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 13 ÷ 166 = 0 remainder 13 |
| 2 | 166 ÷ 13 = 12 remainder 10 |
| 3 | 13 ÷ 10 = 1 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 94 | 12878 |
| 69 and 82 | 5658 |
| 79 and 33 | 2607 |
| 110 and 30 | 330 |
| 174 and 163 | 28362 |