Least Common Multiple (LCM) of 92 and 124
The least common multiple (LCM) of 92 and 124 is 2852.
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 124?
First, calculate the GCD of 92 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 124 = 0 remainder 92 |
| 2 | 124 ÷ 92 = 1 remainder 32 |
| 3 | 92 ÷ 32 = 2 remainder 28 |
| 4 | 32 ÷ 28 = 1 remainder 4 |
| 5 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 97 | 97 |
| 187 and 151 | 28237 |
| 179 and 54 | 9666 |
| 177 and 22 | 3894 |
| 27 and 162 | 162 |