Least Common Multiple (LCM) of 79 and 57
The least common multiple (LCM) of 79 and 57 is 4503.
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 57?
First, calculate the GCD of 79 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 57 = 1 remainder 22 |
| 2 | 57 ÷ 22 = 2 remainder 13 |
| 3 | 22 ÷ 13 = 1 remainder 9 |
| 4 | 13 ÷ 9 = 1 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 106 | 6678 |
| 186 and 69 | 4278 |
| 163 and 31 | 5053 |
| 158 and 100 | 7900 |
| 53 and 177 | 9381 |