Least Common Multiple (LCM) of 108 and 92
The least common multiple (LCM) of 108 and 92 is 2484.
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 108 and 92?
First, calculate the GCD of 108 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 92 = 1 remainder 16 |
| 2 | 92 ÷ 16 = 5 remainder 12 |
| 3 | 16 ÷ 12 = 1 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 172 | 9116 |
| 71 and 41 | 2911 |
| 71 and 133 | 9443 |
| 14 and 88 | 616 |
| 149 and 153 | 22797 |