Least Common Multiple (LCM) of 158 and 89
The least common multiple (LCM) of 158 and 89 is 14062.
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 89?
First, calculate the GCD of 158 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 89 = 1 remainder 69 |
| 2 | 89 ÷ 69 = 1 remainder 20 |
| 3 | 69 ÷ 20 = 3 remainder 9 |
| 4 | 20 ÷ 9 = 2 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 44 | 4796 |
| 34 and 54 | 918 |
| 18 and 164 | 1476 |
| 13 and 107 | 1391 |
| 149 and 94 | 14006 |