Least Common Multiple (LCM) of 171 and 44
The least common multiple (LCM) of 171 and 44 is 7524.
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 44?
First, calculate the GCD of 171 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 44 = 3 remainder 39 |
| 2 | 44 ÷ 39 = 1 remainder 5 |
| 3 | 39 ÷ 5 = 7 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 159 | 11130 |
| 15 and 135 | 135 |
| 121 and 156 | 18876 |
| 106 and 81 | 8586 |
| 186 and 145 | 26970 |