Least Common Multiple (LCM) of 146 and 97
The least common multiple (LCM) of 146 and 97 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 146 and 97?
First, calculate the GCD of 146 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 97 = 1 remainder 49 |
| 2 | 97 ÷ 49 = 1 remainder 48 |
| 3 | 49 ÷ 48 = 1 remainder 1 |
| 4 | 48 ÷ 1 = 48 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 185 | 24420 |
| 196 and 72 | 3528 |
| 15 and 65 | 195 |
| 98 and 147 | 294 |
| 148 and 190 | 14060 |