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 |
|---|---|
| 184 and 174 | 16008 |
| 183 and 196 | 35868 |
| 125 and 96 | 12000 |
| 101 and 113 | 11413 |
| 161 and 186 | 29946 |