Least Common Multiple (LCM) of 148 and 115
The least common multiple (LCM) of 148 and 115 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 148 and 115?
First, calculate the GCD of 148 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 115 = 1 remainder 33 |
| 2 | 115 ÷ 33 = 3 remainder 16 |
| 3 | 33 ÷ 16 = 2 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 67 | 11390 |
| 169 and 42 | 7098 |
| 191 and 66 | 12606 |
| 17 and 140 | 2380 |
| 188 and 167 | 31396 |