Least Common Multiple (LCM) of 107 and 158
The least common multiple (LCM) of 107 and 158 is 16906.
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 107 and 158?
First, calculate the GCD of 107 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 158 = 0 remainder 107 |
| 2 | 158 ÷ 107 = 1 remainder 51 |
| 3 | 107 ÷ 51 = 2 remainder 5 |
| 4 | 51 ÷ 5 = 10 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 85 | 12495 |
| 56 and 40 | 280 |
| 100 and 39 | 3900 |
| 108 and 158 | 8532 |
| 165 and 118 | 19470 |