Least Common Multiple (LCM) of 186 and 34
The least common multiple (LCM) of 186 and 34 is 3162.
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 34?
First, calculate the GCD of 186 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 34 = 5 remainder 16 |
| 2 | 34 ÷ 16 = 2 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 103 | 16892 |
| 183 and 67 | 12261 |
| 108 and 97 | 10476 |
| 136 and 166 | 11288 |
| 118 and 30 | 1770 |