Least Common Multiple (LCM) of 131 and 49
The least common multiple (LCM) of 131 and 49 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 131 and 49?
First, calculate the GCD of 131 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 49 = 2 remainder 33 |
| 2 | 49 ÷ 33 = 1 remainder 16 |
| 3 | 33 ÷ 16 = 2 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 100 | 2800 |
| 120 and 169 | 20280 |
| 71 and 73 | 5183 |
| 146 and 28 | 2044 |
| 174 and 69 | 4002 |