Least Common Multiple (LCM) of 52 and 186
The least common multiple (LCM) of 52 and 186 is 4836.
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 52 and 186?
First, calculate the GCD of 52 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 186 = 0 remainder 52 |
| 2 | 186 ÷ 52 = 3 remainder 30 |
| 3 | 52 ÷ 30 = 1 remainder 22 |
| 4 | 30 ÷ 22 = 1 remainder 8 |
| 5 | 22 ÷ 8 = 2 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 79 | 12561 |
| 82 and 104 | 4264 |
| 170 and 112 | 9520 |
| 42 and 129 | 1806 |
| 59 and 51 | 3009 |