Least Common Multiple (LCM) of 38 and 124
The least common multiple (LCM) of 38 and 124 is 2356.
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 124?
First, calculate the GCD of 38 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 124 = 0 remainder 38 |
| 2 | 124 ÷ 38 = 3 remainder 10 |
| 3 | 38 ÷ 10 = 3 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 70 | 1330 |
| 127 and 164 | 20828 |
| 79 and 121 | 9559 |
| 72 and 22 | 792 |
| 74 and 199 | 14726 |