Least Common Multiple (LCM) of 10 and 186
The least common multiple (LCM) of 10 and 186 is 930.
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 10 and 186?
First, calculate the GCD of 10 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 10 ÷ 186 = 0 remainder 10 |
| 2 | 186 ÷ 10 = 18 remainder 6 |
| 3 | 10 ÷ 6 = 1 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 82 | 3034 |
| 155 and 158 | 24490 |
| 173 and 122 | 21106 |
| 31 and 27 | 837 |
| 17 and 67 | 1139 |