Least Common Multiple (LCM) of 175 and 131
The least common multiple (LCM) of 175 and 131 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 175 and 131?
First, calculate the GCD of 175 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 131 = 1 remainder 44 |
| 2 | 131 ÷ 44 = 2 remainder 43 |
| 3 | 44 ÷ 43 = 1 remainder 1 |
| 4 | 43 ÷ 1 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 51 | 102 |
| 178 and 195 | 34710 |
| 135 and 188 | 25380 |
| 19 and 113 | 2147 |
| 108 and 102 | 1836 |