Least Common Multiple (LCM) of 97 and 146
The least common multiple (LCM) of 97 and 146 is 14162.
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 97 and 146?
First, calculate the GCD of 97 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 146 = 0 remainder 97 |
| 2 | 146 ÷ 97 = 1 remainder 49 |
| 3 | 97 ÷ 49 = 1 remainder 48 |
| 4 | 49 ÷ 48 = 1 remainder 1 |
| 5 | 48 ÷ 1 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 78 | 702 |
| 169 and 159 | 26871 |
| 57 and 103 | 5871 |
| 63 and 185 | 11655 |
| 125 and 47 | 5875 |