Least Common Multiple (LCM) of 46 and 176
The least common multiple (LCM) of 46 and 176 is 4048.
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 176?
First, calculate the GCD of 46 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 176 = 0 remainder 46 |
| 2 | 176 ÷ 46 = 3 remainder 38 |
| 3 | 46 ÷ 38 = 1 remainder 8 |
| 4 | 38 ÷ 8 = 4 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 85 | 12410 |
| 107 and 56 | 5992 |
| 98 and 37 | 3626 |
| 155 and 60 | 1860 |
| 164 and 185 | 30340 |