Least Common Multiple (LCM) of 158 and 109
The least common multiple (LCM) of 158 and 109 is 17222.
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 109?
First, calculate the GCD of 158 and 109 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 109 = 1 remainder 49 |
| 2 | 109 ÷ 49 = 2 remainder 11 |
| 3 | 49 ÷ 11 = 4 remainder 5 |
| 4 | 11 ÷ 5 = 2 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 97 | 12319 |
| 122 and 88 | 5368 |
| 38 and 59 | 2242 |
| 113 and 52 | 5876 |
| 83 and 138 | 11454 |