Least Common Multiple (LCM) of 38 and 163
The least common multiple (LCM) of 38 and 163 is 6194.
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 163?
First, calculate the GCD of 38 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 163 = 0 remainder 38 |
| 2 | 163 ÷ 38 = 4 remainder 11 |
| 3 | 38 ÷ 11 = 3 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 15 | 2670 |
| 133 and 117 | 15561 |
| 55 and 164 | 9020 |
| 113 and 81 | 9153 |
| 177 and 100 | 17700 |