Least Common Multiple (LCM) of 92 and 111
The least common multiple (LCM) of 92 and 111 is 10212.
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 111?
First, calculate the GCD of 92 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 111 = 0 remainder 92 |
| 2 | 111 ÷ 92 = 1 remainder 19 |
| 3 | 92 ÷ 19 = 4 remainder 16 |
| 4 | 19 ÷ 16 = 1 remainder 3 |
| 5 | 16 ÷ 3 = 5 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 101 | 7373 |
| 24 and 64 | 192 |
| 134 and 161 | 21574 |
| 83 and 179 | 14857 |
| 133 and 173 | 23009 |