Least Common Multiple (LCM) of 102 and 92
The least common multiple (LCM) of 102 and 92 is 4692.
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 102 and 92?
First, calculate the GCD of 102 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 92 = 1 remainder 10 |
| 2 | 92 ÷ 10 = 9 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 69 | 2622 |
| 54 and 102 | 918 |
| 85 and 177 | 15045 |
| 106 and 141 | 14946 |
| 25 and 55 | 275 |