Least Common Multiple (LCM) of 92 and 177
The least common multiple (LCM) of 92 and 177 is 16284.
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 177?
First, calculate the GCD of 92 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 177 = 0 remainder 92 |
| 2 | 177 ÷ 92 = 1 remainder 85 |
| 3 | 92 ÷ 85 = 1 remainder 7 |
| 4 | 85 ÷ 7 = 12 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 18 | 774 |
| 65 and 138 | 8970 |
| 175 and 20 | 700 |
| 48 and 124 | 1488 |
| 135 and 93 | 4185 |