Least Common Multiple (LCM) of 171 and 88
The least common multiple (LCM) of 171 and 88 is 15048.
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 88?
First, calculate the GCD of 171 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 88 = 1 remainder 83 |
| 2 | 88 ÷ 83 = 1 remainder 5 |
| 3 | 83 ÷ 5 = 16 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 55 | 2585 |
| 119 and 12 | 1428 |
| 148 and 42 | 3108 |
| 152 and 68 | 2584 |
| 146 and 192 | 14016 |