Least Common Multiple (LCM) of 162 and 36
The least common multiple (LCM) of 162 and 36 is 324.
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 36?
First, calculate the GCD of 162 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 36 = 4 remainder 18 |
| 2 | 36 ÷ 18 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 43 | 3053 |
| 186 and 190 | 17670 |
| 89 and 131 | 11659 |
| 68 and 22 | 748 |
| 169 and 174 | 29406 |