Least Common Multiple (LCM) of 171 and 99
The least common multiple (LCM) of 171 and 99 is 1881.
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 99?
First, calculate the GCD of 171 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 99 = 1 remainder 72 |
| 2 | 99 ÷ 72 = 1 remainder 27 |
| 3 | 72 ÷ 27 = 2 remainder 18 |
| 4 | 27 ÷ 18 = 1 remainder 9 |
| 5 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 169 | 13013 |
| 184 and 126 | 11592 |
| 52 and 80 | 1040 |
| 129 and 191 | 24639 |
| 126 and 115 | 14490 |