Least Common Multiple (LCM) of 158 and 92
The least common multiple (LCM) of 158 and 92 is 7268.
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 92?
First, calculate the GCD of 158 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 92 = 1 remainder 66 |
| 2 | 92 ÷ 66 = 1 remainder 26 |
| 3 | 66 ÷ 26 = 2 remainder 14 |
| 4 | 26 ÷ 14 = 1 remainder 12 |
| 5 | 14 ÷ 12 = 1 remainder 2 |
| 6 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 30 | 510 |
| 92 and 79 | 7268 |
| 179 and 179 | 179 |
| 110 and 103 | 11330 |
| 113 and 200 | 22600 |