Least Common Multiple (LCM) of 158 and 97
The least common multiple (LCM) of 158 and 97 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 158 and 97?
First, calculate the GCD of 158 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 97 = 1 remainder 61 |
| 2 | 97 ÷ 61 = 1 remainder 36 |
| 3 | 61 ÷ 36 = 1 remainder 25 |
| 4 | 36 ÷ 25 = 1 remainder 11 |
| 5 | 25 ÷ 11 = 2 remainder 3 |
| 6 | 11 ÷ 3 = 3 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 106 | 10494 |
| 25 and 31 | 775 |
| 176 and 146 | 12848 |
| 71 and 174 | 12354 |
| 102 and 62 | 3162 |