Least Common Multiple (LCM) of 130 and 134
The least common multiple (LCM) of 130 and 134 is 8710.
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 130 and 134?
First, calculate the GCD of 130 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 134 = 0 remainder 130 |
| 2 | 134 ÷ 130 = 1 remainder 4 |
| 3 | 130 ÷ 4 = 32 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 126 | 126 |
| 169 and 74 | 12506 |
| 189 and 165 | 10395 |
| 183 and 157 | 28731 |
| 175 and 56 | 1400 |