Least Common Multiple (LCM) of 148 and 85
The least common multiple (LCM) of 148 and 85 is 12580.
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 85?
First, calculate the GCD of 148 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 85 = 1 remainder 63 |
| 2 | 85 ÷ 63 = 1 remainder 22 |
| 3 | 63 ÷ 22 = 2 remainder 19 |
| 4 | 22 ÷ 19 = 1 remainder 3 |
| 5 | 19 ÷ 3 = 6 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 132 | 14124 |
| 124 and 16 | 496 |
| 23 and 131 | 3013 |
| 84 and 31 | 2604 |
| 189 and 108 | 756 |