Least Common Multiple (LCM) of 131 and 99
The least common multiple (LCM) of 131 and 99 is 12969.
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 99?
First, calculate the GCD of 131 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 99 = 1 remainder 32 |
| 2 | 99 ÷ 32 = 3 remainder 3 |
| 3 | 32 ÷ 3 = 10 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 122 | 3538 |
| 19 and 197 | 3743 |
| 123 and 144 | 5904 |
| 135 and 146 | 19710 |
| 107 and 15 | 1605 |