Least Common Multiple (LCM) of 49 and 131
The least common multiple (LCM) of 49 and 131 is 6419.
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 49 and 131?
First, calculate the GCD of 49 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 131 = 0 remainder 49 |
| 2 | 131 ÷ 49 = 2 remainder 33 |
| 3 | 49 ÷ 33 = 1 remainder 16 |
| 4 | 33 ÷ 16 = 2 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 184 | 8280 |
| 186 and 15 | 930 |
| 78 and 76 | 2964 |
| 150 and 152 | 11400 |
| 195 and 62 | 12090 |