Least Common Multiple (LCM) of 174 and 131
The least common multiple (LCM) of 174 and 131 is 22794.
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 131?
First, calculate the GCD of 174 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 131 = 1 remainder 43 |
| 2 | 131 ÷ 43 = 3 remainder 2 |
| 3 | 43 ÷ 2 = 21 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 63 | 6552 |
| 183 and 175 | 32025 |
| 174 and 184 | 16008 |
| 186 and 18 | 558 |
| 44 and 139 | 6116 |