Least Common Multiple (LCM) of 175 and 92
The least common multiple (LCM) of 175 and 92 is 16100.
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 92?
First, calculate the GCD of 175 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 92 = 1 remainder 83 |
| 2 | 92 ÷ 83 = 1 remainder 9 |
| 3 | 83 ÷ 9 = 9 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 66 | 462 |
| 146 and 47 | 6862 |
| 42 and 77 | 462 |
| 118 and 78 | 4602 |
| 63 and 133 | 1197 |