Least Common Multiple (LCM) of 174 and 163
The least common multiple (LCM) of 174 and 163 is 28362.
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 174 and 163?
First, calculate the GCD of 174 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 163 = 1 remainder 11 |
| 2 | 163 ÷ 11 = 14 remainder 9 |
| 3 | 11 ÷ 9 = 1 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 134 | 9246 |
| 45 and 128 | 5760 |
| 128 and 138 | 8832 |
| 123 and 110 | 13530 |
| 113 and 20 | 2260 |