Least Common Multiple (LCM) of 148 and 147
The least common multiple (LCM) of 148 and 147 is 21756.
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 147?
First, calculate the GCD of 148 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 147 = 1 remainder 1 |
| 2 | 147 ÷ 1 = 147 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 97 | 7275 |
| 159 and 71 | 11289 |
| 96 and 119 | 11424 |
| 34 and 107 | 3638 |
| 179 and 78 | 13962 |