Least Common Multiple (LCM) of 49 and 187
The least common multiple (LCM) of 49 and 187 is 9163.
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 187?
First, calculate the GCD of 49 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 187 = 0 remainder 49 |
| 2 | 187 ÷ 49 = 3 remainder 40 |
| 3 | 49 ÷ 40 = 1 remainder 9 |
| 4 | 40 ÷ 9 = 4 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 122 | 22082 |
| 94 and 63 | 5922 |
| 93 and 23 | 2139 |
| 107 and 118 | 12626 |
| 110 and 131 | 14410 |