Least Common Multiple (LCM) of 168 and 97
The least common multiple (LCM) of 168 and 97 is 16296.
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 168 and 97?
First, calculate the GCD of 168 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 97 = 1 remainder 71 |
| 2 | 97 ÷ 71 = 1 remainder 26 |
| 3 | 71 ÷ 26 = 2 remainder 19 |
| 4 | 26 ÷ 19 = 1 remainder 7 |
| 5 | 19 ÷ 7 = 2 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 132 | 4092 |
| 88 and 37 | 3256 |
| 66 and 49 | 3234 |
| 106 and 69 | 7314 |
| 41 and 101 | 4141 |