Least Common Multiple (LCM) of 138 and 139
The least common multiple (LCM) of 138 and 139 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 138 and 139?
First, calculate the GCD of 138 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 139 = 0 remainder 138 |
| 2 | 139 ÷ 138 = 1 remainder 1 |
| 3 | 138 ÷ 1 = 138 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 135 | 6615 |
| 123 and 121 | 14883 |
| 105 and 64 | 6720 |
| 90 and 96 | 1440 |
| 98 and 55 | 5390 |