Least Common Multiple (LCM) of 72 and 26
The least common multiple (LCM) of 72 and 26 is 936.
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 72 and 26?
First, calculate the GCD of 72 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 26 = 2 remainder 20 |
| 2 | 26 ÷ 20 = 1 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 42 | 294 |
| 51 and 148 | 7548 |
| 70 and 189 | 1890 |
| 170 and 85 | 170 |
| 156 and 167 | 26052 |