Least Common Multiple (LCM) of 47 and 155
The least common multiple (LCM) of 47 and 155 is 7285.
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 155?
First, calculate the GCD of 47 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 155 = 0 remainder 47 |
| 2 | 155 ÷ 47 = 3 remainder 14 |
| 3 | 47 ÷ 14 = 3 remainder 5 |
| 4 | 14 ÷ 5 = 2 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 192 | 4800 |
| 60 and 168 | 840 |
| 135 and 87 | 3915 |
| 113 and 82 | 9266 |
| 128 and 195 | 24960 |