Least Common Multiple (LCM) of 55 and 79
The least common multiple (LCM) of 55 and 79 is 4345.
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 55 and 79?
First, calculate the GCD of 55 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 79 = 0 remainder 55 |
| 2 | 79 ÷ 55 = 1 remainder 24 |
| 3 | 55 ÷ 24 = 2 remainder 7 |
| 4 | 24 ÷ 7 = 3 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 191 | 20437 |
| 17 and 38 | 646 |
| 102 and 55 | 5610 |
| 189 and 146 | 27594 |
| 175 and 140 | 700 |