Least Common Multiple (LCM) of 134 and 88
The least common multiple (LCM) of 134 and 88 is 5896.
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 88?
First, calculate the GCD of 134 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 134 ÷ 88 = 1 remainder 46 |
| 2 | 88 ÷ 46 = 1 remainder 42 |
| 3 | 46 ÷ 42 = 1 remainder 4 |
| 4 | 42 ÷ 4 = 10 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 142 | 14626 |
| 38 and 85 | 3230 |
| 29 and 61 | 1769 |
| 173 and 147 | 25431 |
| 175 and 159 | 27825 |