Least Common Multiple (LCM) of 176 and 94
The least common multiple (LCM) of 176 and 94 is 8272.
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 176 and 94?
First, calculate the GCD of 176 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 94 = 1 remainder 82 |
| 2 | 94 ÷ 82 = 1 remainder 12 |
| 3 | 82 ÷ 12 = 6 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 59 | 4071 |
| 163 and 15 | 2445 |
| 17 and 178 | 3026 |
| 186 and 18 | 558 |
| 185 and 70 | 2590 |