Least Common Multiple (LCM) of 148 and 188
The least common multiple (LCM) of 148 and 188 is 6956.
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 148 and 188?
First, calculate the GCD of 148 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 188 = 0 remainder 148 |
| 2 | 188 ÷ 148 = 1 remainder 40 |
| 3 | 148 ÷ 40 = 3 remainder 28 |
| 4 | 40 ÷ 28 = 1 remainder 12 |
| 5 | 28 ÷ 12 = 2 remainder 4 |
| 6 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 76 | 5700 |
| 100 and 159 | 15900 |
| 13 and 186 | 2418 |
| 118 and 173 | 20414 |
| 106 and 181 | 19186 |