Least Common Multiple (LCM) of 180 and 87
The least common multiple (LCM) of 180 and 87 is 5220.
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 87?
First, calculate the GCD of 180 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 87 = 2 remainder 6 |
| 2 | 87 ÷ 6 = 14 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 107 | 10807 |
| 150 and 197 | 29550 |
| 190 and 189 | 35910 |
| 132 and 72 | 792 |
| 92 and 114 | 5244 |