Least Common Multiple (LCM) of 116 and 154
The least common multiple (LCM) of 116 and 154 is 8932.
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 154?
First, calculate the GCD of 116 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 154 = 0 remainder 116 |
| 2 | 154 ÷ 116 = 1 remainder 38 |
| 3 | 116 ÷ 38 = 3 remainder 2 |
| 4 | 38 ÷ 2 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 131 | 7991 |
| 105 and 60 | 420 |
| 160 and 123 | 19680 |
| 86 and 176 | 7568 |
| 44 and 77 | 308 |