Least Common Multiple (LCM) of 49 and 163
The least common multiple (LCM) of 49 and 163 is 7987.
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 163?
First, calculate the GCD of 49 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 163 = 0 remainder 49 |
| 2 | 163 ÷ 49 = 3 remainder 16 |
| 3 | 49 ÷ 16 = 3 remainder 1 |
| 4 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 167 | 28390 |
| 40 and 106 | 2120 |
| 88 and 151 | 13288 |
| 89 and 150 | 13350 |
| 159 and 163 | 25917 |