Least Common Multiple (LCM) of 104 and 154
The least common multiple (LCM) of 104 and 154 is 8008.
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 154?
First, calculate the GCD of 104 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 154 = 0 remainder 104 |
| 2 | 154 ÷ 104 = 1 remainder 50 |
| 3 | 104 ÷ 50 = 2 remainder 4 |
| 4 | 50 ÷ 4 = 12 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 114 | 10146 |
| 85 and 48 | 4080 |
| 117 and 99 | 1287 |
| 13 and 180 | 2340 |
| 136 and 44 | 1496 |