Least Common Multiple (LCM) of 178 and 94
The least common multiple (LCM) of 178 and 94 is 8366.
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 94?
First, calculate the GCD of 178 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 94 = 1 remainder 84 |
| 2 | 94 ÷ 84 = 1 remainder 10 |
| 3 | 84 ÷ 10 = 8 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 121 | 22385 |
| 145 and 153 | 22185 |
| 36 and 124 | 1116 |
| 45 and 173 | 7785 |
| 86 and 10 | 430 |