Least Common Multiple (LCM) of 180 and 43
The least common multiple (LCM) of 180 and 43 is 7740.
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 43?
First, calculate the GCD of 180 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 43 = 4 remainder 8 |
| 2 | 43 ÷ 8 = 5 remainder 3 |
| 3 | 8 ÷ 3 = 2 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 66 | 5214 |
| 69 and 148 | 10212 |
| 63 and 144 | 1008 |
| 116 and 162 | 9396 |
| 42 and 89 | 3738 |