Least Common Multiple (LCM) of 52 and 79
The least common multiple (LCM) of 52 and 79 is 4108.
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 52 and 79?
First, calculate the GCD of 52 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 79 = 0 remainder 52 |
| 2 | 79 ÷ 52 = 1 remainder 27 |
| 3 | 52 ÷ 27 = 1 remainder 25 |
| 4 | 27 ÷ 25 = 1 remainder 2 |
| 5 | 25 ÷ 2 = 12 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 77 | 847 |
| 177 and 171 | 10089 |
| 121 and 85 | 10285 |
| 113 and 135 | 15255 |
| 118 and 144 | 8496 |