Least Common Multiple (LCM) of 186 and 49
The least common multiple (LCM) of 186 and 49 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 186 and 49?
First, calculate the GCD of 186 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 49 = 3 remainder 39 |
| 2 | 49 ÷ 39 = 1 remainder 10 |
| 3 | 39 ÷ 10 = 3 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 132 | 3036 |
| 152 and 195 | 29640 |
| 184 and 110 | 10120 |
| 146 and 156 | 11388 |
| 137 and 153 | 20961 |