Least Common Multiple (LCM) of 92 and 118
The least common multiple (LCM) of 92 and 118 is 5428.
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 118?
First, calculate the GCD of 92 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 118 = 0 remainder 92 |
| 2 | 118 ÷ 92 = 1 remainder 26 |
| 3 | 92 ÷ 26 = 3 remainder 14 |
| 4 | 26 ÷ 14 = 1 remainder 12 |
| 5 | 14 ÷ 12 = 1 remainder 2 |
| 6 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 86 | 8600 |
| 133 and 121 | 16093 |
| 164 and 123 | 492 |
| 177 and 35 | 6195 |
| 158 and 75 | 11850 |