Least Common Multiple (LCM) of 57 and 79
The least common multiple (LCM) of 57 and 79 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 57 and 79?
First, calculate the GCD of 57 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 79 = 0 remainder 57 |
| 2 | 79 ÷ 57 = 1 remainder 22 |
| 3 | 57 ÷ 22 = 2 remainder 13 |
| 4 | 22 ÷ 13 = 1 remainder 9 |
| 5 | 13 ÷ 9 = 1 remainder 4 |
| 6 | 9 ÷ 4 = 2 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 143 | 16874 |
| 160 and 36 | 1440 |
| 24 and 111 | 888 |
| 128 and 10 | 640 |
| 34 and 12 | 204 |