Least Common Multiple (LCM) of 186 and 42
The least common multiple (LCM) of 186 and 42 is 1302.
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 42?
First, calculate the GCD of 186 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 42 = 4 remainder 18 |
| 2 | 42 ÷ 18 = 2 remainder 6 |
| 3 | 18 ÷ 6 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 72 | 792 |
| 126 and 129 | 5418 |
| 25 and 103 | 2575 |
| 46 and 37 | 1702 |
| 37 and 123 | 4551 |