Least Common Multiple (LCM) of 139 and 42
The least common multiple (LCM) of 139 and 42 is 5838.
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 139 and 42?
First, calculate the GCD of 139 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 42 = 3 remainder 13 |
| 2 | 42 ÷ 13 = 3 remainder 3 |
| 3 | 13 ÷ 3 = 4 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 51 | 255 |
| 99 and 188 | 18612 |
| 112 and 167 | 18704 |
| 81 and 103 | 8343 |
| 34 and 48 | 816 |