Least Common Multiple (LCM) of 23 and 126
The least common multiple (LCM) of 23 and 126 is 2898.
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 23 and 126?
First, calculate the GCD of 23 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 126 = 0 remainder 23 |
| 2 | 126 ÷ 23 = 5 remainder 11 |
| 3 | 23 ÷ 11 = 2 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 133 | 4522 |
| 157 and 13 | 2041 |
| 39 and 148 | 5772 |
| 87 and 16 | 1392 |
| 145 and 82 | 11890 |