Least Common Multiple (LCM) of 162 and 69
The least common multiple (LCM) of 162 and 69 is 3726.
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 69?
First, calculate the GCD of 162 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 69 = 2 remainder 24 |
| 2 | 69 ÷ 24 = 2 remainder 21 |
| 3 | 24 ÷ 21 = 1 remainder 3 |
| 4 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 35 | 5040 |
| 49 and 36 | 1764 |
| 167 and 93 | 15531 |
| 184 and 195 | 35880 |
| 41 and 97 | 3977 |