Least Common Multiple (LCM) of 30 and 26
The least common multiple (LCM) of 30 and 26 is 390.
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 30 and 26?
First, calculate the GCD of 30 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 30 ÷ 26 = 1 remainder 4 |
| 2 | 26 ÷ 4 = 6 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 82 | 4100 |
| 89 and 29 | 2581 |
| 19 and 43 | 817 |
| 90 and 99 | 990 |
| 34 and 156 | 2652 |