Least Common Multiple (LCM) of 116 and 139
The least common multiple (LCM) of 116 and 139 is 16124.
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 116 and 139?
First, calculate the GCD of 116 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 139 = 0 remainder 116 |
| 2 | 139 ÷ 116 = 1 remainder 23 |
| 3 | 116 ÷ 23 = 5 remainder 1 |
| 4 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 133 | 20748 |
| 34 and 90 | 1530 |
| 154 and 48 | 3696 |
| 165 and 103 | 16995 |
| 156 and 40 | 1560 |