Least Common Multiple (LCM) of 161 and 58
The least common multiple (LCM) of 161 and 58 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 161 and 58?
First, calculate the GCD of 161 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 58 = 2 remainder 45 |
| 2 | 58 ÷ 45 = 1 remainder 13 |
| 3 | 45 ÷ 13 = 3 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 110 | 7370 |
| 82 and 69 | 5658 |
| 21 and 93 | 651 |
| 19 and 94 | 1786 |
| 149 and 172 | 25628 |