Least Common Multiple (LCM) of 38 and 42
The least common multiple (LCM) of 38 and 42 is 798.
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 42?
First, calculate the GCD of 38 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 42 = 0 remainder 38 |
| 2 | 42 ÷ 38 = 1 remainder 4 |
| 3 | 38 ÷ 4 = 9 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 88 | 11528 |
| 88 and 74 | 3256 |
| 42 and 15 | 210 |
| 93 and 61 | 5673 |
| 60 and 154 | 4620 |