Least Common Multiple (LCM) of 175 and 94
The least common multiple (LCM) of 175 and 94 is 16450.
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 175 and 94?
First, calculate the GCD of 175 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 94 = 1 remainder 81 |
| 2 | 94 ÷ 81 = 1 remainder 13 |
| 3 | 81 ÷ 13 = 6 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 112 | 7280 |
| 122 and 179 | 21838 |
| 44 and 56 | 616 |
| 105 and 133 | 1995 |
| 106 and 141 | 14946 |