Least Common Multiple (LCM) of 57 and 158
The least common multiple (LCM) of 57 and 158 is 9006.
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 57 and 158?
First, calculate the GCD of 57 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 158 = 0 remainder 57 |
| 2 | 158 ÷ 57 = 2 remainder 44 |
| 3 | 57 ÷ 44 = 1 remainder 13 |
| 4 | 44 ÷ 13 = 3 remainder 5 |
| 5 | 13 ÷ 5 = 2 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 162 | 1134 |
| 146 and 152 | 11096 |
| 69 and 37 | 2553 |
| 107 and 186 | 19902 |
| 146 and 108 | 7884 |