Least Common Multiple (LCM) of 49 and 179
The least common multiple (LCM) of 49 and 179 is 8771.
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 49 and 179?
First, calculate the GCD of 49 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 179 = 0 remainder 49 |
| 2 | 179 ÷ 49 = 3 remainder 32 |
| 3 | 49 ÷ 32 = 1 remainder 17 |
| 4 | 32 ÷ 17 = 1 remainder 15 |
| 5 | 17 ÷ 15 = 1 remainder 2 |
| 6 | 15 ÷ 2 = 7 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 117 | 12753 |
| 122 and 90 | 5490 |
| 37 and 85 | 3145 |
| 85 and 191 | 16235 |
| 142 and 75 | 10650 |