Least Common Multiple (LCM) of 92 and 112
The least common multiple (LCM) of 92 and 112 is 2576.
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 112?
First, calculate the GCD of 92 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 112 = 0 remainder 92 |
| 2 | 112 ÷ 92 = 1 remainder 20 |
| 3 | 92 ÷ 20 = 4 remainder 12 |
| 4 | 20 ÷ 12 = 1 remainder 8 |
| 5 | 12 ÷ 8 = 1 remainder 4 |
| 6 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 18 | 900 |
| 149 and 116 | 17284 |
| 120 and 180 | 360 |
| 29 and 124 | 3596 |
| 36 and 96 | 288 |