Least Common Multiple (LCM) of 158 and 17
The least common multiple (LCM) of 158 and 17 is 2686.
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 17?
First, calculate the GCD of 158 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 17 = 9 remainder 5 |
| 2 | 17 ÷ 5 = 3 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 176 | 6864 |
| 200 and 53 | 10600 |
| 100 and 80 | 400 |
| 101 and 79 | 7979 |
| 85 and 21 | 1785 |