Least Common Multiple (LCM) of 159 and 97
The least common multiple (LCM) of 159 and 97 is 15423.
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 159 and 97?
First, calculate the GCD of 159 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 97 = 1 remainder 62 |
| 2 | 97 ÷ 62 = 1 remainder 35 |
| 3 | 62 ÷ 35 = 1 remainder 27 |
| 4 | 35 ÷ 27 = 1 remainder 8 |
| 5 | 27 ÷ 8 = 3 remainder 3 |
| 6 | 8 ÷ 3 = 2 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 14 | 2338 |
| 157 and 119 | 18683 |
| 51 and 96 | 1632 |
| 186 and 151 | 28086 |
| 184 and 61 | 11224 |