Least Common Multiple (LCM) of 170 and 93
The least common multiple (LCM) of 170 and 93 is 15810.
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 93?
First, calculate the GCD of 170 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 93 = 1 remainder 77 |
| 2 | 93 ÷ 77 = 1 remainder 16 |
| 3 | 77 ÷ 16 = 4 remainder 13 |
| 4 | 16 ÷ 13 = 1 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 56 | 280 |
| 29 and 51 | 1479 |
| 139 and 107 | 14873 |
| 168 and 144 | 1008 |
| 109 and 141 | 15369 |