Least Common Multiple (LCM) of 131 and 174
The least common multiple (LCM) of 131 and 174 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 131 and 174?
First, calculate the GCD of 131 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 174 = 0 remainder 131 |
| 2 | 174 ÷ 131 = 1 remainder 43 |
| 3 | 131 ÷ 43 = 3 remainder 2 |
| 4 | 43 ÷ 2 = 21 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 131 | 15065 |
| 129 and 63 | 2709 |
| 25 and 130 | 650 |
| 65 and 75 | 975 |
| 54 and 164 | 4428 |