Least Common Multiple (LCM) of 104 and 140
The least common multiple (LCM) of 104 and 140 is 3640.
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 104 and 140?
First, calculate the GCD of 104 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 140 = 0 remainder 104 |
| 2 | 140 ÷ 104 = 1 remainder 36 |
| 3 | 104 ÷ 36 = 2 remainder 32 |
| 4 | 36 ÷ 32 = 1 remainder 4 |
| 5 | 32 ÷ 4 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 75 and 82 | 6150 |
| 40 and 39 | 1560 |
| 73 and 46 | 3358 |
| 10 and 97 | 970 |
| 112 and 29 | 3248 |