Least Common Multiple (LCM) of 43 and 175
The least common multiple (LCM) of 43 and 175 is 7525.
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 43 and 175?
First, calculate the GCD of 43 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 175 = 0 remainder 43 |
| 2 | 175 ÷ 43 = 4 remainder 3 |
| 3 | 43 ÷ 3 = 14 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 37 | 4329 |
| 10 and 172 | 860 |
| 174 and 72 | 2088 |
| 178 and 90 | 8010 |
| 73 and 120 | 8760 |