Least Common Multiple (LCM) of 139 and 31
The least common multiple (LCM) of 139 and 31 is 4309.
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 31?
First, calculate the GCD of 139 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 31 = 4 remainder 15 |
| 2 | 31 ÷ 15 = 2 remainder 1 |
| 3 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 37 | 1221 |
| 71 and 135 | 9585 |
| 144 and 107 | 15408 |
| 174 and 154 | 13398 |
| 101 and 71 | 7171 |