Least Common Multiple (LCM) of 115 and 146
The least common multiple (LCM) of 115 and 146 is 16790.
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 146?
First, calculate the GCD of 115 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 146 = 0 remainder 115 |
| 2 | 146 ÷ 115 = 1 remainder 31 |
| 3 | 115 ÷ 31 = 3 remainder 22 |
| 4 | 31 ÷ 22 = 1 remainder 9 |
| 5 | 22 ÷ 9 = 2 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 49 | 6027 |
| 119 and 128 | 15232 |
| 98 and 166 | 8134 |
| 39 and 179 | 6981 |
| 62 and 19 | 1178 |