Least Common Multiple (LCM) of 92 and 170
The least common multiple (LCM) of 92 and 170 is 7820.
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 170?
First, calculate the GCD of 92 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 170 = 0 remainder 92 |
| 2 | 170 ÷ 92 = 1 remainder 78 |
| 3 | 92 ÷ 78 = 1 remainder 14 |
| 4 | 78 ÷ 14 = 5 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 39 | 1599 |
| 141 and 163 | 22983 |
| 43 and 110 | 4730 |
| 109 and 47 | 5123 |
| 186 and 71 | 13206 |