Least Common Multiple (LCM) of 58 and 161
The least common multiple (LCM) of 58 and 161 is 9338.
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 161?
First, calculate the GCD of 58 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 161 = 0 remainder 58 |
| 2 | 161 ÷ 58 = 2 remainder 45 |
| 3 | 58 ÷ 45 = 1 remainder 13 |
| 4 | 45 ÷ 13 = 3 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 25 | 75 |
| 126 and 187 | 23562 |
| 133 and 90 | 11970 |
| 127 and 190 | 24130 |
| 102 and 169 | 17238 |