Least Common Multiple (LCM) of 38 and 139
The least common multiple (LCM) of 38 and 139 is 5282.
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 139?
First, calculate the GCD of 38 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 139 = 0 remainder 38 |
| 2 | 139 ÷ 38 = 3 remainder 25 |
| 3 | 38 ÷ 25 = 1 remainder 13 |
| 4 | 25 ÷ 13 = 1 remainder 12 |
| 5 | 13 ÷ 12 = 1 remainder 1 |
| 6 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 25 | 2425 |
| 96 and 69 | 2208 |
| 133 and 173 | 23009 |
| 97 and 114 | 11058 |
| 58 and 109 | 6322 |