Least Common Multiple (LCM) of 28 and 58
The least common multiple (LCM) of 28 and 58 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 58?
First, calculate the GCD of 28 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 28 ÷ 58 = 0 remainder 28 |
| 2 | 58 ÷ 28 = 2 remainder 2 |
| 3 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 43 | 731 |
| 144 and 110 | 7920 |
| 117 and 100 | 11700 |
| 158 and 136 | 10744 |
| 151 and 154 | 23254 |