Least Common Multiple (LCM) of 154 and 104
The least common multiple (LCM) of 154 and 104 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 154 and 104?
First, calculate the GCD of 154 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 104 = 1 remainder 50 |
| 2 | 104 ÷ 50 = 2 remainder 4 |
| 3 | 50 ÷ 4 = 12 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 163 | 8313 |
| 142 and 12 | 852 |
| 77 and 166 | 12782 |
| 129 and 87 | 3741 |
| 35 and 75 | 525 |