Least Common Multiple (LCM) of 116 and 47
The least common multiple (LCM) of 116 and 47 is 5452.
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 47?
First, calculate the GCD of 116 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 47 = 2 remainder 22 |
| 2 | 47 ÷ 22 = 2 remainder 3 |
| 3 | 22 ÷ 3 = 7 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 86 | 15910 |
| 165 and 55 | 165 |
| 67 and 185 | 12395 |
| 199 and 72 | 14328 |
| 145 and 56 | 8120 |