Least Common Multiple (LCM) of 162 and 84
The least common multiple (LCM) of 162 and 84 is 2268.
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 84?
First, calculate the GCD of 162 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 84 = 1 remainder 78 |
| 2 | 84 ÷ 78 = 1 remainder 6 |
| 3 | 78 ÷ 6 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 153 | 8568 |
| 170 and 164 | 13940 |
| 69 and 128 | 8832 |
| 108 and 88 | 2376 |
| 106 and 81 | 8586 |