Least Common Multiple (LCM) of 116 and 24
The least common multiple (LCM) of 116 and 24 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 116 and 24?
First, calculate the GCD of 116 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 24 = 4 remainder 20 |
| 2 | 24 ÷ 20 = 1 remainder 4 |
| 3 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 55 | 660 |
| 69 and 196 | 13524 |
| 112 and 12 | 336 |
| 182 and 178 | 16198 |
| 59 and 74 | 4366 |