Least Common Multiple (LCM) of 139 and 138
The least common multiple (LCM) of 139 and 138 is 19182.
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 138?
First, calculate the GCD of 139 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 138 = 1 remainder 1 |
| 2 | 138 ÷ 1 = 138 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 124 | 19716 |
| 131 and 107 | 14017 |
| 154 and 135 | 20790 |
| 102 and 47 | 4794 |
| 85 and 161 | 13685 |