Least Common Multiple (LCM) of 146 and 175
The least common multiple (LCM) of 146 and 175 is 25550.
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 146 and 175?
First, calculate the GCD of 146 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 175 = 0 remainder 146 |
| 2 | 175 ÷ 146 = 1 remainder 29 |
| 3 | 146 ÷ 29 = 5 remainder 1 |
| 4 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 76 | 1900 |
| 156 and 160 | 6240 |
| 117 and 103 | 12051 |
| 160 and 22 | 1760 |
| 48 and 72 | 144 |