Least Common Multiple (LCM) of 158 and 58
The least common multiple (LCM) of 158 and 58 is 4582.
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 58?
First, calculate the GCD of 158 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 58 = 2 remainder 42 |
| 2 | 58 ÷ 42 = 1 remainder 16 |
| 3 | 42 ÷ 16 = 2 remainder 10 |
| 4 | 16 ÷ 10 = 1 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 80 | 2960 |
| 97 and 98 | 9506 |
| 31 and 126 | 3906 |
| 115 and 74 | 8510 |
| 26 and 53 | 1378 |