Least Common Multiple (LCM) of 180 and 92
The least common multiple (LCM) of 180 and 92 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 180 and 92?
First, calculate the GCD of 180 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 92 = 1 remainder 88 |
| 2 | 92 ÷ 88 = 1 remainder 4 |
| 3 | 88 ÷ 4 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 116 | 5800 |
| 14 and 117 | 1638 |
| 83 and 10 | 830 |
| 37 and 97 | 3589 |
| 102 and 50 | 2550 |