Least Common Multiple (LCM) of 116 and 73
The least common multiple (LCM) of 116 and 73 is 8468.
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 73?
First, calculate the GCD of 116 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 73 = 1 remainder 43 |
| 2 | 73 ÷ 43 = 1 remainder 30 |
| 3 | 43 ÷ 30 = 1 remainder 13 |
| 4 | 30 ÷ 13 = 2 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 166 | 28386 |
| 63 and 184 | 11592 |
| 128 and 122 | 7808 |
| 157 and 133 | 20881 |
| 146 and 93 | 13578 |