Least Common Multiple (LCM) of 170 and 183
The least common multiple (LCM) of 170 and 183 is 31110.
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 183?
First, calculate the GCD of 170 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 183 = 0 remainder 170 |
| 2 | 183 ÷ 170 = 1 remainder 13 |
| 3 | 170 ÷ 13 = 13 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 154 | 13398 |
| 132 and 70 | 4620 |
| 15 and 67 | 1005 |
| 80 and 151 | 12080 |
| 139 and 49 | 6811 |