Least Common Multiple (LCM) of 162 and 42
The least common multiple (LCM) of 162 and 42 is 1134.
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 42?
First, calculate the GCD of 162 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 42 = 3 remainder 36 |
| 2 | 42 ÷ 36 = 1 remainder 6 |
| 3 | 36 ÷ 6 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 159 | 16059 |
| 122 and 112 | 6832 |
| 31 and 175 | 5425 |
| 41 and 17 | 697 |
| 183 and 106 | 19398 |