Least Common Multiple (LCM) of 116 and 79
The least common multiple (LCM) of 116 and 79 is 9164.
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 79?
First, calculate the GCD of 116 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 79 = 1 remainder 37 |
| 2 | 79 ÷ 37 = 2 remainder 5 |
| 3 | 37 ÷ 5 = 7 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 181 | 6154 |
| 153 and 39 | 1989 |
| 45 and 130 | 1170 |
| 105 and 172 | 18060 |
| 123 and 82 | 246 |