Least Common Multiple (LCM) of 102 and 47
The least common multiple (LCM) of 102 and 47 is 4794.
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 102 and 47?
First, calculate the GCD of 102 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 47 = 2 remainder 8 |
| 2 | 47 ÷ 8 = 5 remainder 7 |
| 3 | 8 ÷ 7 = 1 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 97 | 11543 |
| 190 and 101 | 19190 |
| 21 and 32 | 672 |
| 106 and 62 | 3286 |
| 129 and 123 | 5289 |