Least Common Multiple (LCM) of 140 and 47
The least common multiple (LCM) of 140 and 47 is 6580.
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 140 and 47?
First, calculate the GCD of 140 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 47 = 2 remainder 46 |
| 2 | 47 ÷ 46 = 1 remainder 1 |
| 3 | 46 ÷ 1 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 164 | 8364 |
| 68 and 58 | 1972 |
| 99 and 158 | 15642 |
| 129 and 20 | 2580 |
| 148 and 138 | 10212 |