Least Common Multiple (LCM) of 175 and 150
The least common multiple (LCM) of 175 and 150 is 1050.
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 150?
First, calculate the GCD of 175 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 150 = 1 remainder 25 |
| 2 | 150 ÷ 25 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 147 | 8379 |
| 12 and 192 | 192 |
| 156 and 34 | 2652 |
| 192 and 183 | 11712 |
| 42 and 17 | 714 |