Least Common Multiple (LCM) of 178 and 92
The least common multiple (LCM) of 178 and 92 is 8188.
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 178 and 92?
First, calculate the GCD of 178 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 92 = 1 remainder 86 |
| 2 | 92 ÷ 86 = 1 remainder 6 |
| 3 | 86 ÷ 6 = 14 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 57 | 1653 |
| 105 and 106 | 11130 |
| 157 and 30 | 4710 |
| 130 and 39 | 390 |
| 79 and 18 | 1422 |