Least Common Multiple (LCM) of 97 and 158
The least common multiple (LCM) of 97 and 158 is 15326.
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 158?
First, calculate the GCD of 97 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 158 = 0 remainder 97 |
| 2 | 158 ÷ 97 = 1 remainder 61 |
| 3 | 97 ÷ 61 = 1 remainder 36 |
| 4 | 61 ÷ 36 = 1 remainder 25 |
| 5 | 36 ÷ 25 = 1 remainder 11 |
| 6 | 25 ÷ 11 = 2 remainder 3 |
| 7 | 11 ÷ 3 = 3 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 42 | 7602 |
| 56 and 146 | 4088 |
| 45 and 20 | 180 |
| 165 and 180 | 1980 |
| 117 and 141 | 5499 |