Least Common Multiple (LCM) of 134 and 104
The least common multiple (LCM) of 134 and 104 is 6968.
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 134 and 104?
First, calculate the GCD of 134 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 104 = 1 remainder 30 |
| 2 | 104 ÷ 30 = 3 remainder 14 |
| 3 | 30 ÷ 14 = 2 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 14 | 560 |
| 118 and 137 | 16166 |
| 132 and 54 | 1188 |
| 82 and 57 | 4674 |
| 91 and 166 | 15106 |