Least Common Multiple (LCM) of 13 and 162
The least common multiple (LCM) of 13 and 162 is 2106.
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 162?
First, calculate the GCD of 13 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 13 ÷ 162 = 0 remainder 13 |
| 2 | 162 ÷ 13 = 12 remainder 6 |
| 3 | 13 ÷ 6 = 2 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 125 | 1375 |
| 153 and 37 | 5661 |
| 186 and 101 | 18786 |
| 191 and 153 | 29223 |
| 174 and 141 | 8178 |