Least Common Multiple (LCM) of 28 and 134
The least common multiple (LCM) of 28 and 134 is 1876.
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 28 and 134?
First, calculate the GCD of 28 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 134 = 0 remainder 28 |
| 2 | 134 ÷ 28 = 4 remainder 22 |
| 3 | 28 ÷ 22 = 1 remainder 6 |
| 4 | 22 ÷ 6 = 3 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 12 | 516 |
| 14 and 181 | 2534 |
| 67 and 87 | 5829 |
| 56 and 105 | 840 |
| 80 and 46 | 1840 |