Least Common Multiple (LCM) of 104 and 61
The least common multiple (LCM) of 104 and 61 is 6344.
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 61?
First, calculate the GCD of 104 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 61 = 1 remainder 43 |
| 2 | 61 ÷ 43 = 1 remainder 18 |
| 3 | 43 ÷ 18 = 2 remainder 7 |
| 4 | 18 ÷ 7 = 2 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 82 | 5576 |
| 181 and 164 | 29684 |
| 158 and 188 | 14852 |
| 151 and 16 | 2416 |
| 166 and 48 | 3984 |