Least Common Multiple (LCM) of 139 and 49
The least common multiple (LCM) of 139 and 49 is 6811.
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 49?
First, calculate the GCD of 139 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 49 = 2 remainder 41 |
| 2 | 49 ÷ 41 = 1 remainder 8 |
| 3 | 41 ÷ 8 = 5 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 200 | 35400 |
| 158 and 36 | 2844 |
| 181 and 118 | 21358 |
| 55 and 128 | 7040 |
| 186 and 24 | 744 |