Least Common Multiple (LCM) of 79 and 52
The least common multiple (LCM) of 79 and 52 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 79 and 52?
First, calculate the GCD of 79 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 52 = 1 remainder 27 |
| 2 | 52 ÷ 27 = 1 remainder 25 |
| 3 | 27 ÷ 25 = 1 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 190 | 9690 |
| 197 and 27 | 5319 |
| 47 and 176 | 8272 |
| 112 and 142 | 7952 |
| 64 and 147 | 9408 |