Least Common Multiple (LCM) of 158 and 107
The least common multiple (LCM) of 158 and 107 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 158 and 107?
First, calculate the GCD of 158 and 107 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 107 = 1 remainder 51 |
| 2 | 107 ÷ 51 = 2 remainder 5 |
| 3 | 51 ÷ 5 = 10 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 174 | 19662 |
| 138 and 176 | 12144 |
| 98 and 62 | 3038 |
| 60 and 45 | 180 |
| 135 and 153 | 2295 |