Least Common Multiple (LCM) of 158 and 189
The least common multiple (LCM) of 158 and 189 is 29862.
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 189?
First, calculate the GCD of 158 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 189 = 0 remainder 158 |
| 2 | 189 ÷ 158 = 1 remainder 31 |
| 3 | 158 ÷ 31 = 5 remainder 3 |
| 4 | 31 ÷ 3 = 10 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 89 | 11659 |
| 149 and 50 | 7450 |
| 153 and 45 | 765 |
| 93 and 25 | 2325 |
| 186 and 103 | 19158 |