Least Common Multiple (LCM) of 131 and 74
The least common multiple (LCM) of 131 and 74 is 9694.
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 74?
First, calculate the GCD of 131 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 74 = 1 remainder 57 |
| 2 | 74 ÷ 57 = 1 remainder 17 |
| 3 | 57 ÷ 17 = 3 remainder 6 |
| 4 | 17 ÷ 6 = 2 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 152 | 27512 |
| 122 and 134 | 8174 |
| 16 and 187 | 2992 |
| 53 and 168 | 8904 |
| 41 and 111 | 4551 |