Least Common Multiple (LCM) of 106 and 158
The least common multiple (LCM) of 106 and 158 is 8374.
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 106 and 158?
First, calculate the GCD of 106 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 158 = 0 remainder 106 |
| 2 | 158 ÷ 106 = 1 remainder 52 |
| 3 | 106 ÷ 52 = 2 remainder 2 |
| 4 | 52 ÷ 2 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 113 | 10848 |
| 162 and 103 | 16686 |
| 23 and 109 | 2507 |
| 199 and 200 | 39800 |
| 164 and 106 | 8692 |