Least Common Multiple (LCM) of 139 and 19
The least common multiple (LCM) of 139 and 19 is 2641.
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 19?
First, calculate the GCD of 139 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 19 = 7 remainder 6 |
| 2 | 19 ÷ 6 = 3 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 200 | 2200 |
| 72 and 20 | 360 |
| 118 and 41 | 4838 |
| 102 and 172 | 8772 |
| 37 and 112 | 4144 |