Least Common Multiple (LCM) of 158 and 57
The least common multiple (LCM) of 158 and 57 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 158 and 57?
First, calculate the GCD of 158 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 57 = 2 remainder 44 |
| 2 | 57 ÷ 44 = 1 remainder 13 |
| 3 | 44 ÷ 13 = 3 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 146 | 5694 |
| 45 and 123 | 1845 |
| 175 and 67 | 11725 |
| 38 and 135 | 5130 |
| 175 and 149 | 26075 |