Least Common Multiple (LCM) of 188 and 126
The least common multiple (LCM) of 188 and 126 is 11844.
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 188 and 126?
First, calculate the GCD of 188 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 126 = 1 remainder 62 |
| 2 | 126 ÷ 62 = 2 remainder 2 |
| 3 | 62 ÷ 2 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 34 | 544 |
| 131 and 67 | 8777 |
| 105 and 192 | 6720 |
| 111 and 37 | 111 |
| 32 and 73 | 2336 |