Least Common Multiple (LCM) of 92 and 126
The least common multiple (LCM) of 92 and 126 is 5796.
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 92 and 126?
First, calculate the GCD of 92 and 126 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 126 = 0 remainder 92 |
| 2 | 126 ÷ 92 = 1 remainder 34 |
| 3 | 92 ÷ 34 = 2 remainder 24 |
| 4 | 34 ÷ 24 = 1 remainder 10 |
| 5 | 24 ÷ 10 = 2 remainder 4 |
| 6 | 10 ÷ 4 = 2 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 171 | 7866 |
| 107 and 61 | 6527 |
| 12 and 80 | 240 |
| 196 and 108 | 5292 |
| 134 and 41 | 5494 |