Least Common Multiple (LCM) of 171 and 30
The least common multiple (LCM) of 171 and 30 is 1710.
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 171 and 30?
First, calculate the GCD of 171 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 30 = 5 remainder 21 |
| 2 | 30 ÷ 21 = 1 remainder 9 |
| 3 | 21 ÷ 9 = 2 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 183 | 30927 |
| 51 and 112 | 5712 |
| 135 and 68 | 9180 |
| 181 and 87 | 15747 |
| 59 and 117 | 6903 |