Least Common Multiple (LCM) of 58 and 159
The least common multiple (LCM) of 58 and 159 is 9222.
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 58 and 159?
First, calculate the GCD of 58 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 159 = 0 remainder 58 |
| 2 | 159 ÷ 58 = 2 remainder 43 |
| 3 | 58 ÷ 43 = 1 remainder 15 |
| 4 | 43 ÷ 15 = 2 remainder 13 |
| 5 | 15 ÷ 13 = 1 remainder 2 |
| 6 | 13 ÷ 2 = 6 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 64 | 2240 |
| 184 and 19 | 3496 |
| 36 and 32 | 288 |
| 197 and 185 | 36445 |
| 181 and 176 | 31856 |