Least Common Multiple (LCM) of 26 and 164
The least common multiple (LCM) of 26 and 164 is 2132.
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 164?
First, calculate the GCD of 26 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 164 = 0 remainder 26 |
| 2 | 164 ÷ 26 = 6 remainder 8 |
| 3 | 26 ÷ 8 = 3 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 197 | 15957 |
| 162 and 125 | 20250 |
| 21 and 50 | 1050 |
| 10 and 148 | 740 |
| 87 and 78 | 2262 |