Least Common Multiple (LCM) of 139 and 137
The least common multiple (LCM) of 139 and 137 is 19043.
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 137?
First, calculate the GCD of 139 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 137 = 1 remainder 2 |
| 2 | 137 ÷ 2 = 68 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 76 | 152 |
| 107 and 148 | 15836 |
| 109 and 116 | 12644 |
| 82 and 186 | 7626 |
| 39 and 31 | 1209 |