Least Common Multiple (LCM) of 175 and 142
The least common multiple (LCM) of 175 and 142 is 24850.
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 142?
First, calculate the GCD of 175 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 142 = 1 remainder 33 |
| 2 | 142 ÷ 33 = 4 remainder 10 |
| 3 | 33 ÷ 10 = 3 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 84 | 9660 |
| 36 and 62 | 1116 |
| 80 and 117 | 9360 |
| 49 and 145 | 7105 |
| 76 and 16 | 304 |