Least Common Multiple (LCM) of 12 and 26
The least common multiple (LCM) of 12 and 26 is 156.
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 12 and 26?
First, calculate the GCD of 12 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 26 = 0 remainder 12 |
| 2 | 26 ÷ 12 = 2 remainder 2 |
| 3 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 53 | 4770 |
| 81 and 62 | 5022 |
| 159 and 142 | 22578 |
| 123 and 97 | 11931 |
| 51 and 38 | 1938 |