Least Common Multiple (LCM) of 56 and 186
The least common multiple (LCM) of 56 and 186 is 5208.
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 56 and 186?
First, calculate the GCD of 56 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 186 = 0 remainder 56 |
| 2 | 186 ÷ 56 = 3 remainder 18 |
| 3 | 56 ÷ 18 = 3 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 100 | 700 |
| 53 and 25 | 1325 |
| 40 and 105 | 840 |
| 109 and 141 | 15369 |
| 182 and 169 | 2366 |