Least Common Multiple (LCM) of 162 and 164
The least common multiple (LCM) of 162 and 164 is 13284.
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 164?
First, calculate the GCD of 162 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 164 = 0 remainder 162 |
| 2 | 164 ÷ 162 = 1 remainder 2 |
| 3 | 162 ÷ 2 = 81 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 17 | 2822 |
| 102 and 145 | 14790 |
| 16 and 63 | 1008 |
| 119 and 39 | 4641 |
| 49 and 194 | 9506 |