Least Common Multiple (LCM) of 171 and 87
The least common multiple (LCM) of 171 and 87 is 4959.
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 87?
First, calculate the GCD of 171 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 87 = 1 remainder 84 |
| 2 | 87 ÷ 84 = 1 remainder 3 |
| 3 | 84 ÷ 3 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 96 | 10464 |
| 106 and 91 | 9646 |
| 39 and 98 | 3822 |
| 42 and 185 | 7770 |
| 129 and 133 | 17157 |