Least Common Multiple (LCM) of 148 and 71
The least common multiple (LCM) of 148 and 71 is 10508.
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 71?
First, calculate the GCD of 148 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 71 = 2 remainder 6 |
| 2 | 71 ÷ 6 = 11 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 65 | 1560 |
| 168 and 74 | 6216 |
| 75 and 52 | 3900 |
| 176 and 83 | 14608 |
| 181 and 100 | 18100 |