Least Common Multiple (LCM) of 24 and 116
The least common multiple (LCM) of 24 and 116 is 696.
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 24 and 116?
First, calculate the GCD of 24 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 116 = 0 remainder 24 |
| 2 | 116 ÷ 24 = 4 remainder 20 |
| 3 | 24 ÷ 20 = 1 remainder 4 |
| 4 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 48 | 1872 |
| 96 and 59 | 5664 |
| 30 and 135 | 270 |
| 105 and 49 | 735 |
| 127 and 178 | 22606 |