Least Common Multiple (LCM) of 180 and 171
The least common multiple (LCM) of 180 and 171 is 3420.
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 180 and 171?
First, calculate the GCD of 180 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 171 = 1 remainder 9 |
| 2 | 171 ÷ 9 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 20 | 540 |
| 73 and 79 | 5767 |
| 118 and 199 | 23482 |
| 185 and 154 | 28490 |
| 36 and 149 | 5364 |