Least Common Multiple (LCM) of 175 and 42
The least common multiple (LCM) of 175 and 42 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 42?
First, calculate the GCD of 175 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 42 = 4 remainder 7 |
| 2 | 42 ÷ 7 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 28 | 3668 |
| 19 and 31 | 589 |
| 90 and 85 | 1530 |
| 48 and 95 | 4560 |
| 102 and 114 | 1938 |