Least Common Multiple (LCM) of 116 and 48
The least common multiple (LCM) of 116 and 48 is 1392.
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 48?
First, calculate the GCD of 116 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 48 = 2 remainder 20 |
| 2 | 48 ÷ 20 = 2 remainder 8 |
| 3 | 20 ÷ 8 = 2 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 33 | 1881 |
| 31 and 41 | 1271 |
| 58 and 172 | 4988 |
| 109 and 131 | 14279 |
| 177 and 199 | 35223 |