Least Common Multiple (LCM) of 79 and 173
The least common multiple (LCM) of 79 and 173 is 13667.
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 173?
First, calculate the GCD of 79 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 79 ÷ 173 = 0 remainder 79 |
| 2 | 173 ÷ 79 = 2 remainder 15 |
| 3 | 79 ÷ 15 = 5 remainder 4 |
| 4 | 15 ÷ 4 = 3 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 87 | 14442 |
| 119 and 66 | 7854 |
| 131 and 173 | 22663 |
| 33 and 178 | 5874 |
| 39 and 23 | 897 |