Least Common Multiple (LCM) of 114 and 148
The least common multiple (LCM) of 114 and 148 is 8436.
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 114 and 148?
First, calculate the GCD of 114 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 148 = 0 remainder 114 |
| 2 | 148 ÷ 114 = 1 remainder 34 |
| 3 | 114 ÷ 34 = 3 remainder 12 |
| 4 | 34 ÷ 12 = 2 remainder 10 |
| 5 | 12 ÷ 10 = 1 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 187 and 20 | 3740 |
| 129 and 44 | 5676 |
| 126 and 12 | 252 |
| 74 and 165 | 12210 |
| 16 and 46 | 368 |