Least Common Multiple (LCM) of 187 and 126
The least common multiple (LCM) of 187 and 126 is 23562.
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 187 and 126?
First, calculate the GCD of 187 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 126 = 1 remainder 61 |
| 2 | 126 ÷ 61 = 2 remainder 4 |
| 3 | 61 ÷ 4 = 15 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 64 | 704 |
| 41 and 123 | 123 |
| 180 and 30 | 180 |
| 113 and 129 | 14577 |
| 101 and 34 | 3434 |