Least Common Multiple (LCM) of 104 and 134
The least common multiple (LCM) of 104 and 134 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 104 and 134?
First, calculate the GCD of 104 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 134 = 0 remainder 104 |
| 2 | 134 ÷ 104 = 1 remainder 30 |
| 3 | 104 ÷ 30 = 3 remainder 14 |
| 4 | 30 ÷ 14 = 2 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 64 | 3392 |
| 100 and 143 | 14300 |
| 164 and 178 | 14596 |
| 89 and 74 | 6586 |
| 176 and 47 | 8272 |