Least Common Multiple (LCM) of 71 and 162
The least common multiple (LCM) of 71 and 162 is 11502.
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 71 and 162?
First, calculate the GCD of 71 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 71 ÷ 162 = 0 remainder 71 |
| 2 | 162 ÷ 71 = 2 remainder 20 |
| 3 | 71 ÷ 20 = 3 remainder 11 |
| 4 | 20 ÷ 11 = 1 remainder 9 |
| 5 | 11 ÷ 9 = 1 remainder 2 |
| 6 | 9 ÷ 2 = 4 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 167 | 2505 |
| 107 and 20 | 2140 |
| 115 and 160 | 3680 |
| 124 and 147 | 18228 |
| 15 and 148 | 2220 |