Least Common Multiple (LCM) of 131 and 175
The least common multiple (LCM) of 131 and 175 is 22925.
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 175?
First, calculate the GCD of 131 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 175 = 0 remainder 131 |
| 2 | 175 ÷ 131 = 1 remainder 44 |
| 3 | 131 ÷ 44 = 2 remainder 43 |
| 4 | 44 ÷ 43 = 1 remainder 1 |
| 5 | 43 ÷ 1 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 118 | 4130 |
| 37 and 99 | 3663 |
| 16 and 162 | 1296 |
| 42 and 166 | 3486 |
| 142 and 63 | 8946 |