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 |
|---|---|
| 166 and 21 | 3486 |
| 161 and 142 | 22862 |
| 82 and 12 | 492 |
| 164 and 45 | 7380 |
| 170 and 120 | 2040 |