Least Common Multiple (LCM) of 175 and 200
The least common multiple (LCM) of 175 and 200 is 1400.
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 200?
First, calculate the GCD of 175 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 200 = 0 remainder 175 |
| 2 | 200 ÷ 175 = 1 remainder 25 |
| 3 | 175 ÷ 25 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 11 | 748 |
| 80 and 198 | 7920 |
| 58 and 152 | 4408 |
| 95 and 90 | 1710 |
| 145 and 135 | 3915 |