Least Common Multiple (LCM) of 54 and 186
The least common multiple (LCM) of 54 and 186 is 1674.
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 54 and 186?
First, calculate the GCD of 54 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 54 ÷ 186 = 0 remainder 54 |
| 2 | 186 ÷ 54 = 3 remainder 24 |
| 3 | 54 ÷ 24 = 2 remainder 6 |
| 4 | 24 ÷ 6 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 190 and 114 | 570 |
| 175 and 132 | 23100 |
| 62 and 143 | 8866 |
| 180 and 146 | 13140 |
| 113 and 53 | 5989 |