Least Common Multiple (LCM) of 92 and 180
The least common multiple (LCM) of 92 and 180 is 4140.
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 92 and 180?
First, calculate the GCD of 92 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 180 = 0 remainder 92 |
| 2 | 180 ÷ 92 = 1 remainder 88 |
| 3 | 92 ÷ 88 = 1 remainder 4 |
| 4 | 88 ÷ 4 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 72 | 2952 |
| 16 and 73 | 1168 |
| 188 and 125 | 23500 |
| 133 and 181 | 24073 |
| 180 and 57 | 3420 |