Least Common Multiple (LCM) of 139 and 101
The least common multiple (LCM) of 139 and 101 is 14039.
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 101?
First, calculate the GCD of 139 and 101 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 101 = 1 remainder 38 |
| 2 | 101 ÷ 38 = 2 remainder 25 |
| 3 | 38 ÷ 25 = 1 remainder 13 |
| 4 | 25 ÷ 13 = 1 remainder 12 |
| 5 | 13 ÷ 12 = 1 remainder 1 |
| 6 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 168 | 2184 |
| 119 and 57 | 6783 |
| 175 and 35 | 175 |
| 17 and 128 | 2176 |
| 84 and 106 | 4452 |