Least Common Multiple (LCM) of 49 and 186
The least common multiple (LCM) of 49 and 186 is 9114.
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 186?
First, calculate the GCD of 49 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 186 = 0 remainder 49 |
| 2 | 186 ÷ 49 = 3 remainder 39 |
| 3 | 49 ÷ 39 = 1 remainder 10 |
| 4 | 39 ÷ 10 = 3 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 145 | 19720 |
| 72 and 155 | 11160 |
| 171 and 66 | 3762 |
| 65 and 169 | 845 |
| 89 and 152 | 13528 |