Least Common Multiple (LCM) of 93 and 170
The least common multiple (LCM) of 93 and 170 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 93 and 170?
First, calculate the GCD of 93 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 170 = 0 remainder 93 |
| 2 | 170 ÷ 93 = 1 remainder 77 |
| 3 | 93 ÷ 77 = 1 remainder 16 |
| 4 | 77 ÷ 16 = 4 remainder 13 |
| 5 | 16 ÷ 13 = 1 remainder 3 |
| 6 | 13 ÷ 3 = 4 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 21 | 3360 |
| 186 and 109 | 20274 |
| 68 and 133 | 9044 |
| 53 and 86 | 4558 |
| 50 and 81 | 4050 |