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 |
|---|---|
| 132 and 60 | 660 |
| 183 and 77 | 14091 |
| 192 and 104 | 2496 |
| 137 and 59 | 8083 |
| 118 and 147 | 17346 |