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 |
|---|---|
| 138 and 192 | 4416 |
| 28 and 165 | 4620 |
| 195 and 12 | 780 |
| 14 and 156 | 1092 |
| 196 and 54 | 5292 |