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 |
|---|---|
| 163 and 53 | 8639 |
| 170 and 97 | 16490 |
| 111 and 169 | 18759 |
| 101 and 20 | 2020 |
| 121 and 149 | 18029 |