Least Common Multiple (LCM) of 38 and 161
The least common multiple (LCM) of 38 and 161 is 6118.
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 38 and 161?
First, calculate the GCD of 38 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 161 = 0 remainder 38 |
| 2 | 161 ÷ 38 = 4 remainder 9 |
| 3 | 38 ÷ 9 = 4 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 87 | 16095 |
| 145 and 159 | 23055 |
| 116 and 79 | 9164 |
| 139 and 177 | 24603 |
| 24 and 113 | 2712 |