Least Common Multiple (LCM) of 38 and 46
The least common multiple (LCM) of 38 and 46 is 874.
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 46?
First, calculate the GCD of 38 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 46 = 0 remainder 38 |
| 2 | 46 ÷ 38 = 1 remainder 8 |
| 3 | 38 ÷ 8 = 4 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 144 | 720 |
| 72 and 128 | 1152 |
| 64 and 60 | 960 |
| 105 and 27 | 945 |
| 189 and 152 | 28728 |