Least Common Multiple (LCM) of 180 and 94
The least common multiple (LCM) of 180 and 94 is 8460.
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 94?
First, calculate the GCD of 180 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 94 = 1 remainder 86 |
| 2 | 94 ÷ 86 = 1 remainder 8 |
| 3 | 86 ÷ 8 = 10 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 35 | 5810 |
| 130 and 32 | 2080 |
| 171 and 122 | 20862 |
| 155 and 89 | 13795 |
| 59 and 48 | 2832 |