Least Common Multiple (LCM) of 162 and 26
The least common multiple (LCM) of 162 and 26 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 162 and 26?
First, calculate the GCD of 162 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 26 = 6 remainder 6 |
| 2 | 26 ÷ 6 = 4 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 169 | 19604 |
| 58 and 162 | 4698 |
| 112 and 37 | 4144 |
| 11 and 33 | 33 |
| 139 and 71 | 9869 |