Least Common Multiple (LCM) of 92 and 91
The least common multiple (LCM) of 92 and 91 is 8372.
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 91?
First, calculate the GCD of 92 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 91 = 1 remainder 1 |
| 2 | 91 ÷ 1 = 91 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 66 | 11550 |
| 12 and 110 | 660 |
| 134 and 77 | 10318 |
| 86 and 17 | 1462 |
| 161 and 77 | 1771 |