Least Common Multiple (LCM) of 115 and 148
The least common multiple (LCM) of 115 and 148 is 17020.
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 115 and 148?
First, calculate the GCD of 115 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 148 = 0 remainder 115 |
| 2 | 148 ÷ 115 = 1 remainder 33 |
| 3 | 115 ÷ 33 = 3 remainder 16 |
| 4 | 33 ÷ 16 = 2 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 40 | 520 |
| 37 and 126 | 4662 |
| 81 and 60 | 1620 |
| 80 and 78 | 3120 |
| 105 and 60 | 420 |