Least Common Multiple (LCM) of 46 and 175
The least common multiple (LCM) of 46 and 175 is 8050.
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 46 and 175?
First, calculate the GCD of 46 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 175 = 0 remainder 46 |
| 2 | 175 ÷ 46 = 3 remainder 37 |
| 3 | 46 ÷ 37 = 1 remainder 9 |
| 4 | 37 ÷ 9 = 4 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 48 | 528 |
| 110 and 128 | 7040 |
| 56 and 144 | 1008 |
| 168 and 140 | 840 |
| 64 and 41 | 2624 |