Least Common Multiple (LCM) of 38 and 126
The least common multiple (LCM) of 38 and 126 is 2394.
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 126?
First, calculate the GCD of 38 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 126 = 0 remainder 38 |
| 2 | 126 ÷ 38 = 3 remainder 12 |
| 3 | 38 ÷ 12 = 3 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 107 | 11556 |
| 135 and 96 | 4320 |
| 195 and 53 | 10335 |
| 23 and 146 | 3358 |
| 20 and 20 | 20 |