Least Common Multiple (LCM) of 26 and 46
The least common multiple (LCM) of 26 and 46 is 598.
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 26 and 46?
First, calculate the GCD of 26 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 46 = 0 remainder 26 |
| 2 | 46 ÷ 26 = 1 remainder 20 |
| 3 | 26 ÷ 20 = 1 remainder 6 |
| 4 | 20 ÷ 6 = 3 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 70 | 770 |
| 171 and 26 | 4446 |
| 46 and 86 | 1978 |
| 79 and 189 | 14931 |
| 100 and 45 | 900 |