Least Common Multiple (LCM) of 185 and 186
The least common multiple (LCM) of 185 and 186 is 34410.
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 185 and 186?
First, calculate the GCD of 185 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 186 = 0 remainder 185 |
| 2 | 186 ÷ 185 = 1 remainder 1 |
| 3 | 185 ÷ 1 = 185 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 63 | 7686 |
| 78 and 170 | 6630 |
| 50 and 114 | 2850 |
| 183 and 42 | 2562 |
| 85 and 87 | 7395 |