Least Common Multiple (LCM) of 146 and 75
The least common multiple (LCM) of 146 and 75 is 10950.
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 75?
First, calculate the GCD of 146 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 75 = 1 remainder 71 |
| 2 | 75 ÷ 71 = 1 remainder 4 |
| 3 | 71 ÷ 4 = 17 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 10 | 1310 |
| 35 and 157 | 5495 |
| 91 and 46 | 4186 |
| 144 and 63 | 1008 |
| 160 and 150 | 2400 |