Least Common Multiple (LCM) of 47 and 146
The least common multiple (LCM) of 47 and 146 is 6862.
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 47 and 146?
First, calculate the GCD of 47 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 146 = 0 remainder 47 |
| 2 | 146 ÷ 47 = 3 remainder 5 |
| 3 | 47 ÷ 5 = 9 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 136 | 14824 |
| 136 and 23 | 3128 |
| 165 and 190 | 6270 |
| 176 and 179 | 31504 |
| 137 and 168 | 23016 |