Least Common Multiple (LCM) of 170 and 92
The least common multiple (LCM) of 170 and 92 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 170 and 92?
First, calculate the GCD of 170 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 92 = 1 remainder 78 |
| 2 | 92 ÷ 78 = 1 remainder 14 |
| 3 | 78 ÷ 14 = 5 remainder 8 |
| 4 | 14 ÷ 8 = 1 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 120 | 1320 |
| 11 and 167 | 1837 |
| 53 and 16 | 848 |
| 155 and 30 | 930 |
| 126 and 98 | 882 |