Least Common Multiple (LCM) of 162 and 31
The least common multiple (LCM) of 162 and 31 is 5022.
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 31?
First, calculate the GCD of 162 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 31 = 5 remainder 7 |
| 2 | 31 ÷ 7 = 4 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 71 | 2769 |
| 184 and 169 | 31096 |
| 112 and 150 | 8400 |
| 32 and 199 | 6368 |
| 63 and 134 | 8442 |