Least Common Multiple (LCM) of 77 and 92
The least common multiple (LCM) of 77 and 92 is 7084.
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 77 and 92?
First, calculate the GCD of 77 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 92 = 0 remainder 77 |
| 2 | 92 ÷ 77 = 1 remainder 15 |
| 3 | 77 ÷ 15 = 5 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 152 | 4104 |
| 134 and 70 | 4690 |
| 177 and 136 | 24072 |
| 136 and 16 | 272 |
| 58 and 12 | 348 |