Least Common Multiple (LCM) of 175 and 180
The least common multiple (LCM) of 175 and 180 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 175 and 180?
First, calculate the GCD of 175 and 180 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 180 = 0 remainder 175 |
| 2 | 180 ÷ 175 = 1 remainder 5 |
| 3 | 175 ÷ 5 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 98 | 3038 |
| 18 and 114 | 342 |
| 188 and 101 | 18988 |
| 59 and 120 | 7080 |
| 161 and 151 | 24311 |