Least Common Multiple (LCM) of 131 and 57
The least common multiple (LCM) of 131 and 57 is 7467.
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 57?
First, calculate the GCD of 131 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 57 = 2 remainder 17 |
| 2 | 57 ÷ 17 = 3 remainder 6 |
| 3 | 17 ÷ 6 = 2 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 154 | 8932 |
| 74 and 111 | 222 |
| 96 and 37 | 3552 |
| 187 and 34 | 374 |
| 150 and 10 | 150 |