
Least Common Multiple (LCM) of 26 and 11
The least common multiple (LCM) of 26 and 11 is 286.
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 11?
First, calculate the GCD of 26 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 26 ÷ 11 = 2 remainder 4 |
2 | 11 ÷ 4 = 2 remainder 3 |
3 | 4 ÷ 3 = 1 remainder 1 |
4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
35 and 195 | 1365 |
184 and 194 | 17848 |
15 and 152 | 2280 |
114 and 80 | 4560 |
123 and 151 | 18573 |