Least Common Multiple (LCM) of 116 and 148
The least common multiple (LCM) of 116 and 148 is 4292.
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 148?
First, calculate the GCD of 116 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 148 = 0 remainder 116 |
| 2 | 148 ÷ 116 = 1 remainder 32 |
| 3 | 116 ÷ 32 = 3 remainder 20 |
| 4 | 32 ÷ 20 = 1 remainder 12 |
| 5 | 20 ÷ 12 = 1 remainder 8 |
| 6 | 12 ÷ 8 = 1 remainder 4 |
| 7 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 189 | 3213 |
| 100 and 29 | 2900 |
| 166 and 132 | 10956 |
| 188 and 13 | 2444 |
| 43 and 31 | 1333 |