Least Common Multiple (LCM) of 68 and 92
The least common multiple (LCM) of 68 and 92 is 1564.
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 68 and 92?
First, calculate the GCD of 68 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 68 ÷ 92 = 0 remainder 68 |
| 2 | 92 ÷ 68 = 1 remainder 24 |
| 3 | 68 ÷ 24 = 2 remainder 20 |
| 4 | 24 ÷ 20 = 1 remainder 4 |
| 5 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 105 | 5565 |
| 98 and 65 | 6370 |
| 134 and 36 | 2412 |
| 116 and 171 | 19836 |
| 163 and 170 | 27710 |