Least Common Multiple (LCM) of 38 and 156
The least common multiple (LCM) of 38 and 156 is 2964.
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 156?
First, calculate the GCD of 38 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 156 = 0 remainder 38 |
| 2 | 156 ÷ 38 = 4 remainder 4 |
| 3 | 38 ÷ 4 = 9 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 83 | 12201 |
| 151 and 182 | 27482 |
| 60 and 46 | 1380 |
| 168 and 25 | 4200 |
| 125 and 92 | 11500 |