Least Common Multiple (LCM) of 28 and 29
The least common multiple (LCM) of 28 and 29 is 812.
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 29?
First, calculate the GCD of 28 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 29 = 0 remainder 28 |
| 2 | 29 ÷ 28 = 1 remainder 1 |
| 3 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 133 | 266 |
| 20 and 90 | 180 |
| 187 and 126 | 23562 |
| 184 and 117 | 21528 |
| 110 and 54 | 2970 |