Least Common Multiple (LCM) of 180 and 175
The least common multiple (LCM) of 180 and 175 is 6300.
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 175?
First, calculate the GCD of 180 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 175 = 1 remainder 5 |
| 2 | 175 ÷ 5 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 80 | 3120 |
| 42 and 100 | 2100 |
| 48 and 73 | 3504 |
| 186 and 76 | 7068 |
| 104 and 185 | 19240 |