Least Common Multiple (LCM) of 158 and 23
The least common multiple (LCM) of 158 and 23 is 3634.
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 23?
First, calculate the GCD of 158 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 23 = 6 remainder 20 |
| 2 | 23 ÷ 20 = 1 remainder 3 |
| 3 | 20 ÷ 3 = 6 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 82 | 7216 |
| 45 and 159 | 2385 |
| 179 and 30 | 5370 |
| 62 and 28 | 868 |
| 158 and 19 | 3002 |