Least Common Multiple (LCM) of 23 and 116
The least common multiple (LCM) of 23 and 116 is 2668.
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 23 and 116?
First, calculate the GCD of 23 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 116 = 0 remainder 23 |
| 2 | 116 ÷ 23 = 5 remainder 1 |
| 3 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 132 | 4092 |
| 98 and 126 | 882 |
| 71 and 35 | 2485 |
| 129 and 17 | 2193 |
| 45 and 15 | 45 |