Least Common Multiple (LCM) of 73 and 179
The least common multiple (LCM) of 73 and 179 is 13067.
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 73 and 179?
First, calculate the GCD of 73 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 179 = 0 remainder 73 |
| 2 | 179 ÷ 73 = 2 remainder 33 |
| 3 | 73 ÷ 33 = 2 remainder 7 |
| 4 | 33 ÷ 7 = 4 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 170 | 33490 |
| 50 and 68 | 1700 |
| 44 and 58 | 1276 |
| 112 and 113 | 12656 |
| 154 and 90 | 6930 |